{"id":3273,"date":"2023-06-12T11:20:31","date_gmt":"2023-06-12T11:20:31","guid":{"rendered":"https:\/\/akademperiodyka.org.ua\/uk\/?p=3273"},"modified":"2026-03-20T16:40:11","modified_gmt":"2026-03-20T16:40:11","slug":"kholodov","status":"publish","type":"post","link":"https:\/\/akademperiodyka.org.ua\/en\/books\/kholodov\/","title":{"rendered":"Resonant and polarization effects in the processes of quantum electrodynamics in a strong magnetic field"},"content":{"rendered":"

Authors:<\/strong><\/p>\n

Kholodov R.I.<\/strong>, Institute of Applied Physics of the National Academy of Sciences of Ukraine<\/span><\/p>\n

Scopus Autor ID: 6507456019<\/p>\n

Novak O.P.<\/strong>, Institute of Applied Physics of the National Academy of Sciences of Ukraine<\/span><\/p>\n

ORCID ID: https:\/\/orcid.org\/0000-0002-9316-4885<\/a><\/p>\n

Scopus Autor ID:\u00a0 36658793200<\/a><\/p>\n

Diachenko M.M.<\/strong>, Institute of Applied Physics of the National Academy of Sciences of Ukraine<\/span><\/p>\n

ORCID ID: https:\/\/orcid.org\/0000-0001-7206-6963<\/a><\/p>\n

Scopus Autor ID:\u00a0 56114449900<\/a><\/p>\n

Reviewers:<\/strong><\/p>\n

Corresponding Member of NAS of Ukraine,<\/p>\n

Doctor of Physical and Mathematical Sciences, Professor V.P. Gusynin<\/strong><\/p>\n

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine<\/p>\n

 <\/p>\n

Corresponding Member of NAS of Ukraine,<\/p>\n

Doctor of Physical and Mathematical Sciences, Professor O.Yu. Korchin<\/strong><\/p>\n

National Science Center \u00abKharkiv Institute of Physics and Technology\u00bb<\/p>\n

 <\/p>\n

Doctor of Physical and Mathematical Sciences, Senior Research O.A. Lebed<\/strong><\/p>\n

Institute of Applied Physics of the National Academy of Sciences of Ukraine<\/p>\n

\n
Year:<\/strong> 2022<\/div>\n<\/div>\n
\n
Pages:<\/strong> 222<\/div>\n<\/div>\n
\n
ISBN:<\/strong> 978-966-360-472-5<\/div>\n<\/div>\n
\n
Publication Language:<\/strong> English<\/div>\n<\/div>\n
\n
Publisher:<\/strong> PH \u201cAkademperiodyka\u201d<\/div>\n<\/div>\n
\n
Place Published:<\/strong> Kyiv<\/div>\n<\/div>\n
\n
DOI:<\/strong>\u00a0 https:\/\/doi.org\/10.15407\/akademperiodyka.472.222<\/a><\/div>\n<\/div>\n
<\/div>\n
Full Text: Kholodov_Resonant_and_polarization_effects_web<\/a><\/div>\n
\n
<\/div>\n<\/div>\n
\n

The monograph considers resonance and polarization effects in quantum electrodynamics processes that take place in a strong external magnetic field. A method for analyzing spin-polarization effects has been developed. The factorization of process cross-sections in resonant conditions and the representation of these cross-sections in the form of Breit-Wigner are considered. The possibility of testing these effects in modern international projects to test quantum electrodynamics in strong fields is shown.<\/span><\/p>\n

For researchers, teachers, graduate students, and students of physical and physical-technical specialties.<\/span><\/p>\n

\n

 <\/p>\n

References:<\/strong><\/p>\n

    \n
  1. Blewett\u00a0J.P. Radiation losses in the induction electron accelerator.\u00a0Physical Review<\/em>. 1946. Vol.\u00a069, No.\u00a03\u20144. pp.\u00a087\u201495. https:\/\/doi.org\/10.1103\/physrev.69.87<\/a><\/li>\n
  2. Elder\u00a0F.R., Gurewitsch\u00a0A.M., Langmuir\u00a0R.V., Pollock\u00a0H.C. Radiation from electrons in a synchrotron.\u00a0Physical Review<\/em>. 1947. Vol.\u00a071, No.\u00a011. P.\u00a0829\u2014830. https:\/\/doi.org\/10.1103\/physrev.71.829.5<\/a><\/li>\n
  3. Sokolov\u00a0A.A. Synchrotron radiation. Oxford: Pergamon, 1968. 198\u00a0p.<\/li>\n
  4. Sokolov\u00a0A.A., Ternov\u00a0I.M. Relativistic electron. Moscow: Nauka, 1974. 392\u00a0p. [in Russian].<\/li>\n
  5. Ternov\u00a0I.M. Synchrotron radiation and its applications. Chur, Switzerland: Harwood Academic, 1985. 378\u00a0p.<\/li>\n
  6. Ternov\u00a0I.M. Synchrotron radiation.\u00a0Physics-Uspekhi<\/em>. 1995. Vol.\u00a038, No.\u00a04. pp.\u00a0409\u2014434. https:\/\/doi.org\/10.1070\/pu1995v038n04abeh000082<\/a><\/li>\n
  7. Demeur\u00a0M. Study of the interaction between the eigenfield of a particle and a homogeneous and constant electromagnetic field.\u00a0Royal Academy of Belgium. Bulletin of the Sci. Class<\/em>. 1953. Vol.\u00a028. P.\u00a01643. [in French].<\/li>\n
  8. Klepikov\u00a0N.P. Emission of photons and electron-positron pairs in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1954. Vol.\u00a026, No.\u00a01. pp.\u00a019\u201434.<\/li>\n
  9. Sokolov\u00a0A.A. Quantum mechanics. New York: Holt, Rinehart and Winston, 1966. 537\u00a0p.<\/li>\n
  10. Mitrofanov\u00a0I.G., Pozanenko\u00a0A.S. Generation of radiation in quantum transitions of electrons in a strong magnetic field.\u00a0Soviet Physics JETP<\/em>. 1987. Vol.\u00a066, No.\u00a06. pp.1112\u20141118.<\/li>\n
  11. Ray\u00a0R., Sakita\u00a0B. The electromagnetic interactions of electrons in the lowest Landau level.\u00a0Annals of Physics<\/em>. 1994. Vol.\u00a0230, No.\u00a01. pp.\u00a0131\u2014144. https:\/\/doi.org\/10.1006\/aphy.1994.1020<\/a><\/li>\n
  12. Latal\u00a0H.G. Cyclotron radiation in strong magnetic fields.\u00a0The Astrophysical J.<\/em> 1986. Vol.\u00a0309. pp.\u00a0372\u2014382. https:\/\/doi.org\/10.1086\/164609<\/a><\/li>\n
  13. Erber\u00a0T. High-Energy electromagnetic conversion processes in intense magnetic fields.\u00a0Reviews of Modern Physics<\/em>. 1966. Vol.\u00a038, No.\u00a04. pp.\u00a0626\u2014659. https:\/\/doi.org\/10.1103\/revmodphys.38.626<\/a><\/li>\n
  14. Herold H., Ruder H., Wunner H. Cyclotron emission in strongly magnetized plasmas.\u00a0Astronomy and Astrophysics<\/em>. 1982. No.\u00a0115. pp.\u00a090\u201496.<\/li>\n
  15. Pavlov G.G., Bezchastnov V.G., Meszaros P., Alexander S.G. Radiative widths and splitting of cyclotron lines in superstrong magnetic fields.\u00a0The Astrophysical J.<\/em> 1991. Vol.\u00a0380. pp.\u00a0541\u2014549. https:\/\/doi.org\/10.1086\/170611<\/a><\/li>\n
  16. Harding\u00a0A.K., Preece\u00a0R. Quantized synchrotron radiation in strong magnetic fields.\u00a0The Astrophysical J.<\/em> 1987. Vol.\u00a0319. pp.\u00a0939\u2014950. https:\/\/doi.org\/10.1086\/165510<\/a><\/li>\n
  17. Daugherty\u00a0J.K., Ventura\u00a0J. Absorption of radiation by electrons in intense magnetic fields.\u00a0Physical Review D<\/em>. 1978. Vol.\u00a018, No.\u00a04. pp.\u00a01053\u20141067. https:\/\/doi.org\/10.1103\/physrevd.18.1053<\/a><\/li>\n
  18. Tolhoek\u00a0H.A. Electron polarization, theory and experiment.\u00a0Reviews of Modern Physics<\/em>. 1956. Vol.\u00a028, No.\u00a03. pp.\u00a0277\u2014298. https:\/\/doi.org\/10.1103\/revmodphys.28.277<\/a><\/li>\n
  19. Sokolov\u00a0A.A., Ternov\u00a0I.M. On polarization effects in the radiation of an accelerated electron.\u00a0Soviet Physics JETP<\/em>. 1957. Vol.\u00a04, No.\u00a03. pp.\u00a0396\u2014400.<\/li>\n
  20. Korolev\u00a0F.A., Markov\u00a0V.S., Akimov\u00a0E.M., Kulikov\u00a0O.F. Experimental study of the angular distribution and polarization of optical radiation of electrons in a synchrotron.\u00a0Doklady Akademii nauk SSSR<\/em>. 1956. Vol.\u00a0110, No.\u00a04. pp.\u00a0542\u2014544. [in Russian].<\/li>\n
  21. Orlov\u00a0Iu.F., Kheifets\u00a0S.A. Depolarization of electrons due to radiation in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1959. Vol.\u00a08, No.\u00a02. P.\u00a0354.<\/li>\n
  22. Ternov\u00a0I.M., Bagrov\u00a0V.G., Rzaev\u00a0R.A. Radiation from fast electrons with oriented spin in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1964. Vol.\u00a019, No.\u00a01. pp.\u00a0255\u2014259.<\/li>\n
  23. Baring\u00a0M.G., Gonthier\u00a0P.L., Harding\u00a0A.K. Spin-dependent cyclotron decay rates in strong magnetic fields.\u00a0The Astrophysical J.<\/em> 2005. No.\u00a0630. pp.\u00a0430\u2014440. https:\/\/doi.org\/10.1086\/431895<\/a><\/li>\n
  24. Bagrov\u00a0V.G., Zhukovsky\u00a0V.Ch., Ternov\u00a0I.M., Khalilov\u00a0V.R. Spin effects in processes involving high-energy particles in a magnetic field.\u00a0Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika<\/em>. 1984. No.\u00a07. pp.\u00a012\u201416. [in Russian].<\/li>\n
  25. Baier\u00a0V.N., Katkov\u00a0V.M. Radiative polarization of electrons in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1967. Vol.\u00a025, No.\u00a05. pp.\u00a0944\u2014947.<\/li>\n
  26. Schwinger\u00a0J., Tsai\u00a0W. Radiative polarization of electrons.\u00a0Physical Review D<\/em>. 1974. Vol.\u00a09, No.\u00a06. pp.\u00a01843\u20141845. https:\/\/doi.org\/10.1103\/physrevd.9.1843<\/a><\/li>\n
  27. Daugherty\u00a0J.K., Lerche\u00a0I. Theory of pair production in strong electric and magnetic fields and its applicability to pulsars.\u00a0Physical Review D<\/em>. 1976. Vol.\u00a014, No.\u00a02. pp.\u00a0340\u2014355. https:\/\/doi.org\/10.1103\/physrevd.14.340<\/a><\/li>\n
  28. Daugherty\u00a0J.K., Harding\u00a0A.K. Pair production in superstrong magnetic fields.\u00a0The Astrophysical J.<\/em> 1983. Vol.\u00a0273. pp.\u00a0761\u2014773. https:\/\/doi.org\/10.1086\/161411<\/a><\/li>\n
  29. Mikheev\u00a0N.V., Chistyakov\u00a0N.V. Photon damping caused by electron-positron pair production in a strong magnetic field.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2001. Vol.\u00a073, No.\u00a012. pp.\u00a0642\u2014646. https:\/\/doi.org\/10.1134\/1.1397746<\/a><\/li>\n
  30. Semionova\u00a0L., Leahy\u00a0D. Remarks concerning pair creation in strong magnetic fields.\u00a0Astronomy & Astrophysics<\/em>. 2001. Vol.\u00a0373, No.\u00a01. pp.\u00a0272\u2014280. https:\/\/doi.org\/10.1051\/0004-6361:20010491<\/a><\/li>\n
  31. Di Piazza\u00a0A., Calucci\u00a0G. Pair production in a strong time-depending magnetic field: The effect of a strong gravitational field.\u00a0Astroparticle Physics<\/em>. 2006. Vol.\u00a024, No.\u00a06. pp.\u00a0520\u2014537. https:\/\/doi.org\/10.1016\/j.astropartphys.2005.10.004<\/a><\/li>\n
  32. Luo\u00a0Y., Ji\u00a0P. Pair production induced by quantum electrodynamic vacuum polarization in pulsars.\u00a0Monthly Notices of the Royal Astronomical Society<\/em>. 2011. Vol.\u00a0420, No.\u00a02. pp.\u00a01673\u20141683. https:\/\/doi.org\/10.1111\/j.1365-2966.2011.20158<\/a><\/li>\n
  33. Schwinger\u00a0J. On gauge invariance and vacuum polarization.\u00a0Physical Review<\/em>. 1951. Vol.\u00a082, No.\u00a05. pp.\u00a0664\u2014679. https:\/\/doi.org\/10.1103\/physrev.82.664<\/a><\/li>\n
  34. Tsai\u00a0W., Yildiz\u00a0A. Motion of an electron in a homogeneous magnetic field\u2013modified propagation function and synchrotron radiation.\u00a0Physical Review D<\/em>. 1973. Vol.\u00a08, No.\u00a010. pp.\u00a03446\u20143460. https:\/\/doi.org\/10.1103\/physrevd.8.3446<\/a><\/li>\n
  35. Tsai\u00a0W. Magnetic bremsstrahlung and modified propagation function. Spin-0 charged particles in a homogeneous magnetic field.\u00a0Physical Review D<\/em>. 1973. Vol.\u00a08, No.\u00a010. pp.\u00a03460\u20143469. https:\/\/doi.org\/10.1103\/physrevd.8.3460<\/a><\/li>\n
  36. Tsai\u00a0W. Vacuum polarization in homogeneous magnetic fields.\u00a0Physical Review D<\/em>. 1974. Vol.\u00a010, No.\u00a08. pp.\u00a02699\u20142702. https:\/\/doi.org\/10.1103\/physrevd.10.2699<\/a><\/li>\n
  37. Tsai\u00a0W., Erber\u00a0T. Photon pair creation in intense magnetic fields.\u00a0Physical Review D<\/em>. 1974. Vol.\u00a010, No.\u00a02. pp.\u00a0492\u2014499. https:\/\/doi.org\/10.1103\/physrevd.10.492<\/a><\/li>\n
  38. Tsai\u00a0W. Modified electron propagation function in strong magnetic fields. Physical Review D<\/em>. 1974. Vol.\u00a010, No.\u00a04. pp.\u00a01342\u20141345. https:\/\/doi.org\/10.1103\/physrevd.10.1342<\/a><\/li>\n
  39. Baier\u00a0V\u00a0N., Katkov\u00a0V.M. Processes involved in the motion of high energy particles in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1968. Vol.\u00a026, No.\u00a04. pp.\u00a0854\u2014860.<\/li>\n
  40. Baier\u00a0V.N., Katkov\u00a0V.M. Quasiclassical theory of bremsstrahlung by relativistic particles.\u00a0Soviet Physics JETP<\/em>. 1969. Vol.\u00a028, No.\u00a04. pp.\u00a0807\u2014813.<\/li>\n
  41. Baier\u00a0V.N., Katkov\u00a0V.M., Strakhovenko\u00a0V.M. Operator approach to quantum electrodynamics in an external field: The mass operator.\u00a0Soviet Physics JETP<\/em>. 1975. Vol.\u00a040, No.\u00a02. pp.\u00a0225\u2014232.<\/li>\n
  42. Baier\u00a0V.N., Katkov\u00a0V.M., Strakhovenko\u00a0V.M. Operator approach to quantum electrodynamics in an external field. Electron loops.\u00a0Soviet Physics JETP<\/em>. 1975. Vol.\u00a041, No.\u00a02. pp.\u00a0198\u2014204.<\/li>\n
  43. Ritus\u00a0V.I. Eigenfunction method and mass operator in the quantum electrodynamics of a constant field.\u00a0Soviet Physics JETP<\/em>. 1978. Vol.\u00a048, No.\u00a05. pp.\u00a0788\u2014799.<\/li>\n
  44. Ritus\u00a0V.I. Quantum effects of the interaction of elementary particles with an intense electromagnetic field.\u00a0Trudy FIAN<\/em>. 1979. Vol.\u00a0111. pp.\u00a05\u2014151. [in Russian].<\/li>\n
  45. Baier\u00a0V.N., Katkov\u00a0V.M., Strakhovenko\u00a0V.M. Higher-order effects in an external field: pair creation by a particle.\u00a0Physics of Atomic Nuclei<\/em>. 1971. Vol.\u00a014, No.\u00a05. pp.\u00a01020\u20141026. [in Russian].<\/li>\n
  46. Baier\u00a0V.N., Katkov\u00a0V.M. Pair creation by a photon in a strong magnetic field. Physical Review D<\/em>. 2007. Vol.\u00a075, No.\u00a07. P.\u00a0073009. https:\/\/doi.org\/10.1103\/physrevd.75.073009<\/a><\/li>\n
  47. Baier\u00a0V.N., Katkov\u00a0V.M., Fadin\u00a0V.S. Radiation of relativistic electrons. Moscow: Atomizdat. 1973. 376\u00a0p. [in Russian].<\/li>\n
  48. Parle\u00a0A. Quantum electrodynamics in strong magnetic fields. IV. Electron self-energy.\u00a0Australian J. of Physics<\/em>. 1987. Vol.\u00a040, No.\u00a01. pp.\u00a01\u201421. https:\/\/doi.org\/10.1071\/ph870001<\/a><\/li>\n
  49. Gepr\u00e4gs\u00a0R., Riffert\u00a0H., Herold\u00a0H. et al. Electron self-energy in a homogeneous magnetic field.\u00a0Physical Review D<\/em>. 1994. Vol.\u00a049, No.\u00a010. pp.\u00a05582\u20145589. https:\/\/doi.org\/10.1103\/physrevd.49.5582<\/a><\/li>\n
  50. Ternov\u00a0I.M., Khalilov\u00a0V.R., Rodionov\u00a0V.N. Interaction of charged particles with a strong electromagnetic field. Moscow: Moscow University Press. 1982. 304\u00a0p. [in Russian].<\/li>\n
  51. Giacconi\u00a0R., Gursky H., Kellogg E. et al. Discovery of periodic X-ray pulsations in centaurus X-3 from UHURU.\u00a0The Astrophysical J.<\/em> 1971. Vol.\u00a0167. pp.\u00a0L67\u2014L73. https:\/\/doi.org\/10.1086\/180762<\/a><\/li>\n
  52. Hewish\u00a0A., Bell\u00a0J., Pilkington\u00a0D.\u00a0H. et al. Observation of a rapidly pulsating
    \nradio source.\u00a0Nature<\/em>. 1968. Vol.\u00a0217, No.\u00a05130. pp.\u00a0709\u2014713.     https:\/\/doi.org\/
    \n10.1038\/217709a0<\/a><\/li>\n
  53. Bird\u00a0A.\u00a0J., Bazzano\u00a0A., Bassani\u00a0L. et al. The fourth ibis\/isgri soft gamma-ray survey catalog.\u00a0The Astrophysical J. Supplement Series<\/em>. 2009. Vol.\u00a0186, No.\u00a01. pp.\u00a01\u20149. https:\/\/doi.org\/10.1088\/0067-0049\/186\/1\/1<\/a><\/li>\n
  54. Abdo\u00a0A.A., Ackermann\u00a0M., Ajello\u00a0M. et al. The first Fermi large area telescope catalog of gamma-ray pulsars.\u00a0The Astrophysical J. Supplement Series<\/em>. 2010. Vol.\u00a0187, No.\u00a02. pp.\u00a0460\u2014494. https:\/\/doi.org\/10.1088\/0067-0049\/187\/2\/460<\/a><\/li>\n
  55. Gnedin\u00a0Yu.N., Syunyaev\u00a0R.A. Scattering of radiation by thermal electrons in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1974. Vol.\u00a038, No.\u00a01. pp.\u00a051\u201457.<\/li>\n
  56. Tr\u00fcmper\u00a0J., Pietsch\u00a0W., Reppin\u00a0C. et al. Evidence for strong cyclotron line emission in the hard X-ray spectrum of Hercules X-1.\u00a0The Astrophysical J.<\/em> 1978. Vol.\u00a0219. pp.\u00a0L105\u2014L110. https:\/\/doi.org\/10.1086\/182617<\/a><\/li>\n
  57. Gnedin\u00a0Yu.N., Pavlov\u00a0G.G., Tsygan\u00a0A.I. Photoeffect in strong magnetic fields and x-ray emission from neutron stars.\u00a0Soviet Physics JETP<\/em>. 1974. Vol.\u00a039, No.\u00a02. pp.\u00a0201\u2014206.<\/li>\n
  58. Gnedin\u00a0Yu.N., Sunyaev\u00a0R.A. The beaming of radiation from an accreting magnetic neutron star and the X-ray pulsars.\u00a0Astronomy and Astrophysics<\/em>. 1973. Vol.\u00a025. pp.\u00a0233\u2014239.<\/li>\n
  59. Gnedin\u00a0Yu.N., Sunyaev\u00a0R.A. Polarization of optical and X-radiation from compact thermal sources with magnetic field.\u00a0Astronomy and Astrophysics<\/em>. 1974. Vol.\u00a036. pp.\u00a0379\u2014394.<\/li>\n
  60. Sunyaev\u00a0R.A., Totarchuk\u00a0L.G. Comptonization of X-rays in plasma clouds. Typical radiation spectra.\u00a0Astronomyand Astrophysics<\/em>. 1979. Vol.\u00a086. pp.\u00a0121\u2014138.<\/li>\n
  61. Bussard\u00a0R.W. Implications of cyclotron features in the X-ray spectrum of Hercules X-1.\u00a0The Astrophysical J.<\/em> 1980. Vol.\u00a0237. pp.\u00a0970\u2014987. https:\/\/doi.org\/10.1086\/157943<\/a><\/li>\n
  62. Meszaros\u00a0P., Nagel\u00a0W. X-ray pulsar models. I \u2014 Angle-dependent cyclotron line formation and comptonization.\u00a0The Astrophysical J.<\/em> 1985. Vol.\u00a0298. pp.\u00a0147\u2014160. https:\/\/doi.org\/10.1086\/163594<\/a><\/li>\n
  63. Coburn\u00a0W., Heindl\u00a0W.A., Gruber\u00a0D.E. et al. Discovery of a cyclotron resonant scattering feature in therossi x-ray timing explorerspectrum of 4U 0352+309 (X Persei).\u00a0The Astrophysical J.<\/em> 2001. Vol.\u00a0552, No.\u00a02. pp.\u00a0738\u2014747. https:\/\/doi.org\/10.1086\/320565<\/a><\/li>\n
  64. Heindl\u00a0W.A. RXTE studies of cyclotron lines in accreting pulsars.\u00a0Fifth compton symp.<\/em>, Portsmouth, New Hampshire (USA). 2000. Vol.\u00a0510. pp.\u00a0178\u2014182.<\/li>\n
  65. Heindl\u00a0W.A., Coburn\u00a0W., Gruber\u00a0D.E. et al. Discovery of a cyclotron resonance scattering feature in the x-ray spectrum of XTE J1946+274.\u00a0The Astrophysical J.<\/em> 2001. Vol.\u00a0563, No.\u00a01. pp.\u00a0L35\u2014L39. https:\/\/doi.org\/10.1086\/339017<\/a><\/li>\n
  66. Ibrahim\u00a0A.I., Safi-Harb\u00a0S., Swank\u00a0J.H. et al. Discovery of cyclotron resonance features in the soft gamma repeater SGR 1806\u201420.\u00a0The Astrophysical J.<\/em> 2002. Vol.\u00a0574, No.\u00a01. pp.\u00a0L51\u2014L55. https:\/\/doi.org\/10.1086\/342366<\/a><\/li>\n
  67. Cusumano\u00a0G., Di\u00a0Salvo\u00a0T., Burderi\u00a0R. et al. Detection of a cyclotron line and its second harmonic in 4U1907+09.\u00a0Astronomy and Astrophysics<\/em>. 1998. Vol.\u00a0338. pp.\u00a0L79\u2014L82.<\/li>\n
  68. Dal\u00a0Fiume\u00a0D., Orlandini\u00a0M., Del\u00a0Sordo\u00a0S. et al. The broad band spectral properties of binary X-ray pulsars.\u00a0Advances in Space Research<\/em>. 2000. Vol.\u00a025, No.\u00a03\u20144. pp.\u00a0399\u2014408. https:\/\/doi.org\/10.1016\/s0273-1177(99)00767-x<\/a><\/li>\n
  69. Orlandini\u00a0M., Dal\u00a0Fiume\u00a0M., Del\u00a0Sordo\u00a0S. The broad-band spectrum of OAO1657-415 with BeppoSAX: in search of cyclotron lines. Astronomy and Astrophysics<\/em>. 1999. Vol.\u00a0349. pp.\u00a0L9\u2014L12.<\/li>\n
  70. Santangelo\u00a0A., Segreto\u00a0A., Giarrusso\u00a0S. et al. A BEPPOSAX study of the pulsating transient X0115+63: the first X-ray spectrum with four cyclotron harmonic features. The Astrophysical J.<\/em> 1999. Vol.\u00a0523 (1). pp.\u00a0L85\u2014L88. https:\/\/doi.org\/10.1086\/312249<\/a><\/li>\n
  71. Dal Fiume\u00a0D., Frontera\u00a0F., Masetti\u00a0N. et al. Cyclotron lines in X-ray pulsars as a probe of relativistic plasmas in superstrong magnetic fields.\u00a0Fifth compton symp.<\/em>, Portsmouth, New Hampshire (USA). 2000. Vol.\u00a0510. pp.\u00a0183\u2014187. https:\/\/doi.org\/10.1063\/1.1303199<\/a><\/li>\n
  72. Robba\u00a0N.R., Burderi\u00a0L., Di\u00a0Salvo\u00a0T. et al. The BeppoSAX 0.1-100 keV spectrum of the X-ray pulsar 4U 1538\u201352. The Astrophysical J.<\/em> 2001. Vol.\u00a0562. pp.\u00a0950\u2014956. https:\/\/doi.org\/10.1086\/323841<\/a><\/li>\n
  73. La\u00a0Barbera\u00a0A., Burderi\u00a0L., Di\u00a0Salvo\u00a0T. The 0.1-100 keV spectrum of LMC X-4 in the high state: evidence for a high-energy cyclotron absorption line. The Astrophysical J.<\/em> 2001. Vol.\u00a0553, No.\u00a01. pp.\u00a0375\u2014381. https:\/\/doi.org\/10.1086\/320643<\/a><\/li>\n
  74. Wunner\u00a0G. Comparison of 1\u03b3 and 2\u03b3 pair annihilation in strong magnetic fields. Physical Review Letters<\/em>. 1979. Vol.\u00a0170, No.\u00a02. pp.\u00a079\u201482. https:\/\/doi.org\/10.1103\/physrevlett.42.79<\/a><\/li>\n
  75. Daugherty\u00a0J.K., Bussard\u00a0R.W. Pair annihilation in superstrong magnetic fields.\u00a0The Astrophysical J.<\/em> 1980. Vol.\u00a0238. pp.\u00a0296\u2014310. https:\/\/doi.org\/10.1086\/157985<\/a><\/li>\n
  76. Harding\u00a0A.K. One-photon pair annihilation in magnetized relativistic plasmas.\u00a0The Astrophysical J.<\/em> 1986. Vol.\u00a0300. pp.\u00a0167\u2014177. https:\/\/doi.org\/10.1086\/163791<\/a><\/li>\n
  77. Wunner\u00a0G., Paez\u00a0G., Herold\u00a0H., Ruder\u00a0H. One-quantum annihilation of polarized electron-positron pairs in strong magnetic fields.\u00a0Astronomy and Astrophysics<\/em>. 1986. Vol.\u00a0170. pp.\u00a0179\u2014186.<\/li>\n
  78. Semionova\u00a0L., Leahy\u00a0D. Polarization for pair annihilation in strong magnetic fields. Astronomy and Astrophysics Supplement Series<\/em>. 2000. Vol.\u00a0144. pp.\u00a0307\u2014316. https:\/\/doi.org\/10.1051\/aas:2000102<\/a><\/li>\n
  79. Kaminker\u00a0A.D., Pavlov\u00a0G.G., Mamradze\u00a0P.G. Two-photon annihilation radiation in strong magnetic field: the case of small longitudinal velocities of electrons and positrons.\u00a0Astrophysics and Space Sci.<\/em> 1987. Vol.\u00a0138, No.\u00a01. pp.\u00a01\u201418. https:\/\/doi.org\/10.1007\/bf00642858<\/a><\/li>\n
  80. Lewicka\u00a0S., Dryzek\u00a0J. Two-photon positron\u2013electron annihilation in a strong magnetic field. Astroparticle Physics<\/em>. 2013. Vol.\u00a050\u201452. pp.\u00a01\u201410. https:\/\/doi.org\/10.1016\/j.astropartphys.2013.09.001<\/a><\/li>\n
  81. Lewicka\u00a0S. Electron-positron annihilation in ultra-strong magnetic fields. comparison of one- and two-photon annihilation at middly relativistic regime.\u00a0Acta Physica Polonica A<\/em>. 2014. Vol.\u00a0125, No.\u00a03. pp.\u00a0688\u2014690. https:\/\/doi.org\/10.12693\/aphyspola.125.688<\/a><\/li>\n
  82. Kaminker A.D., Gnedin O.Yu., Yakovlev D.G. et al. Neutrino emissivity from e\u2013<\/sup>e+<\/sup> annihilation in a strong magnetic field: hot, nondegenerate plasma.\u00a0Physical Review D<\/em>. 1992. Vol.\u00a046, No.\u00a010. pp.\u00a04133\u20144139. https:\/\/doi.org\/10.1103\/physrevd.46.4133<\/a><\/li>\n
  83. Al\u2019ber\u00a0Y.I., Krotova\u00a0Z.N., Eidman\u00a0V.Y. Cascade process in strong magnetic and electric fields under astrophysical conditions.\u00a0Astrophysics<\/em>. 1975. Vol.\u00a011, No.\u00a02. pp.\u00a0189\u2014195. https:\/\/doi.org\/10.1007\/bf01002454<\/a><\/li>\n
  84. Daugherty\u00a0J.K., Harding\u00a0A.K. Electromagnetic cascades in pulsars.\u00a0The Astrophysical J.<\/em> 1982. Vol.\u00a0252. pp.\u00a0337\u2014347. https:\/\/doi.org\/10.1086\/159561<\/a><\/li>\n
  85. Sturrock\u00a0P.A., Harding\u00a0A.K., Daugherty\u00a0J.K. Cascade model of gamma-ray bursts.\u00a0The Astrophysical J.<\/em> 1989. Vol.\u00a0346. pp.\u00a0950\u2014959. https:\/\/doi.org\/10.1086\/168075<\/a><\/li>\n
  86. Baring\u00a0M.G. Synchrotron pair cascades in strong magnetic fields. Astronomy and Astrophysics<\/em>. 1989. Vol.\u00a0225. pp.\u00a0260\u2014276.<\/li>\n
  87. Daugherty\u00a0J.K., Harding\u00a0A.K. Gamma-ray pulsars: emission from extended polarcap cascades.\u00a0The Astrophysical J.<\/em> 1996. Vol.\u00a0458. pp.\u00a0278\u2014292. https:\/\/doi.org\/10.1086\/176811<\/a><\/li>\n
  88. Akhiezer\u00a0A.I., Merenkov\u00a0N.P., Rekalo\u00a0A.P. On a kinetic theory of electromagnetic showers in strong magnetic fields.\u00a0J. of Physics G: Nuclear and Particle Physics<\/em>. 1994. Vol.\u00a020, No.\u00a09. pp.\u00a01499\u20141514. https:\/\/doi.org\/10.1088\/0954-3899\/20\/9\/018<\/a><\/li>\n
  89. Anguelov\u00a0V., Vankov\u00a0H. Electromagnetic showers in a strong magnetic field.\u00a0J. of Physics G: Nuclear and Particle Physics<\/em>. 1999. Vol.\u00a025, No.\u00a08. pp.\u00a01755\u20141764. https:\/\/doi.org\/10.1088\/0954-3899\/25\/8\/317<\/a><\/li>\n
  90. Fang\u00a0J., Zhang\u00a0L. Full electromagnetic cascades in spin-powered pulsars.\u00a0The Astrophysical J.<\/em> 2006. Vol.\u00a0653. pp.573\u2014579. https:\/\/doi.org\/10.1086\/508563<\/a><\/li>\n
  91. Timokhin\u00a0A.N. Time-dependent pair cascades in magnetospheres of neutron stars\u00a0\u2014 I. Dynamics of the polar cap cascade with no particle supply from the neutron star surface.\u00a0Monthly Notices of the Royal Astronomical Society<\/em>. 2010. Vol.\u00a0408, No.\u00a04. pp.\u00a02092\u20142114. https:\/\/doi.org\/10.1111\/j.1365-2966.2010.17286<\/a><\/li>\n
  92. Medin\u00a0Z., Lai\u00a0D. Pair cascades in the magnetospheres of strongly magnetized neutron stars.\u00a0Monthly Notices of the Royal Astronomical Society<\/em>. 2010. Vol.\u00a0406. pp.\u00a01379\u20141404. https:\/\/doi.org\/10.1111\/j.1365-2966.2010.16776<\/a><\/li>\n
  93. Sturrock\u00a0P.A. A model of pulsars.\u00a0The Astrophysical J.<\/em> 1971. Vol.\u00a0164. pp.\u00a0529\u2014556. https:\/\/doi.org\/10.1086\/150865<\/a><\/li>\n
  94. Usov\u00a0V.V. Millisecond pulsars with extremely strong magnetic fields as a cosmological source of \u03b3-ray bursts.\u00a0Letters to Nature<\/em>. 1992. Vol.\u00a0357. pp.\u00a0472\u2014474. https:\/\/doi.org\/10.1038\/357472a0<\/a><\/li>\n
  95. Arendt\u00a0P.N., Eilek\u00a0J.A. Pair creation in the pulsar magnetosphere.\u00a0The Astrophysical J.<\/em> 2002. Vol.\u00a0581, No.\u00a01. pp.\u00a0451\u2014469. https:\/\/doi.org\/10.1086\/344133<\/a><\/li>\n
  96. Asseo\u00a0E. Pair plasma in pulsar magnetospheres.\u00a0Plasma Physics and Controlled Fusion<\/em>. 2003. Vol.\u00a045, No.\u00a06. pp.\u00a0853\u2014867. https:\/\/doi.org\/10.1088\/0741-3335\/45\/6\/302<\/a><\/li>\n
  97. Istomin\u00a0Ya.N., Sobyanin\u00a0D.N. Electron-positron plasma generation in a magnetar magnetosphere.\u00a0Astronomy Letters.<\/em> 2007. Vol.\u00a033, No.\u00a010. pp.\u00a0660\u2014672. https:\/\/doi.org\/10.1134\/s1063773707100040<\/a><\/li>\n
  98. Zhukovsky\u00a0V.Ch., Vshivtsev\u00a0A.S., Eminov\u00a0P.A. Thermodynamic potential and oscillations of the magnetization of a relativistic electron-positron gas in a constant magnetic field.\u00a0Physics of Atomic Nuclei<\/em>. 1995. Vol.\u00a058, No.\u00a07. pp.\u00a01274\u20141281. [in Russian].<\/li>\n
  99. Persson\u00a0D., Zeitlin\u00a0V. Note on QED with a magnetic field and chemical potential.\u00a0Physical Review D<\/em>. 1995. Vol.\u00a051, No.\u00a04. pp.\u00a02026\u20142029. https:\/\/doi.org\/10.1103\/physrevd.51.2026<\/a><\/li>\n
  100. Harding\u00a0A.K. Physics in strong magnetic fields near neutron stars.\u00a0Science<\/em>. 1991. Vol.\u00a0251, No.\u00a04997. pp.\u00a01033\u20141038. https:\/\/doi.org\/10.1126\/science.251.4997.1033<\/a><\/li>\n
  101. Harding\u00a0A.K. The physics of gamma-ray bursts.\u00a0Physical Reports<\/em>. 1991. Vol.\u00a0206, No.\u00a06. pp.\u00a0327\u2014391. https:\/\/doi.org\/10.1016\/0370-1573(91)90055-q<\/a><\/li>\n
  102. Ternov\u00a0I.M., Dorofeev\u00a0O.F. Quantum effects in extremely strong magnetic field.\u00a0Physics of elementary particles and atomic nucleus<\/em>. 1994. Vol.\u00a025, No.\u00a01. pp.\u00a05\u201493. [in Russian].<\/li>\n
  103. Harding\u00a0A.K., Lai\u00a0D. Physics of strongly magnetized neutron stars.\u00a0Reports on Progress in Physics<\/em>. 2006. Vol.\u00a069, No.\u00a09. pp.\u00a02631\u20142708. https:\/\/doi.org\/10.1088\/0034-4885\/69\/9\/r03<\/a><\/li>\n
  104. Dolginov\u00a0A.Z., Gnedin\u00a0Yu.N., Silantyev\u00a0N.A. Propagation and polarization of radiation in the space environment. Moscow: Nauka, 1979. 425\u00a0p. [in Russian].<\/li>\n
  105. Shklovsky\u00a0I.S. Problems of modern astrophysics. Moscow: Nauka, 1982. 223\u00a0p. [in Russian].<\/li>\n
  106. Oleinik\u00a0V.P. Resonance effects in the field of an intense laser beam. I.\u00a0Soviet Physics JETP<\/em>. 1967. Vol.\u00a025, No.\u00a04. pp.\u00a0697\u2014708.<\/li>\n
  107. Oleinik\u00a0V.P. Resonance effects in the field of an intense laser ray. II.\u00a0Soviet Physics JETP<\/em>. 1968. Vol.\u00a026, No.\u00a06. pp.\u00a01132\u20141138.<\/li>\n
  108. Fedorov\u00a0M.V. Resonance interaction between electrons and photons.\u00a0Soviet Physics JETP<\/em>. 1975. Vol.\u00a041, No.\u00a04. pp.\u00a0601\u2014605.<\/li>\n
  109. Baier\u00a0V.N., Mil\u2019shtein\u00a0A.I. Radiative effects near cyclotron resonance.\u00a0Soviet Physics JETP<\/em>. 1978. Vol.\u00a048, No.\u00a02. pp.\u00a0196\u2014201.<\/li>\n
  110. Borisov\u00a0A.V., Zhukovskii\u00a0V.Ch., Eminov\u00a0P.A. Resonant electron-electron bremsstrahlung in the field of an electromagnetic wave.\u00a0Soviet Physics JETP<\/em>. 1980. Vol.\u00a051, No.\u00a02. pp.\u00a0267\u2014270.<\/li>\n
  111. Roshchupkin\u00a0S.P. Resonant electron-electron scattering in the field of a light wave: general relativistic case.\u00a0Laser Physics<\/em>. 1994. Vol.\u00a04. pp.\u00a031\u201460.<\/li>\n
  112. Denisenko\u00a0O.I., Roshchupkin\u00a0S.P. Resonant scattering of an electron by a positron in the field of a light wave.\u00a0Laser Physics<\/em>. 1999. Vol.\u00a09. pp.\u00a01108\u20141112.<\/li>\n
  113. Landau\u00a0L.D., Lifshitz\u00a0E.M. Quantum mechanics: non-relativistic theory. Oxford: Butterworth-Heinemann, 1991. 677 p.<\/li>\n
  114. Kachelriess\u00a0M., Berg\u00a0D., Wunner\u00a0G. Is Compton scattering in magnetic fields really infrared divergent?\u00a0Physical Review D<\/em>. 1995. Vol.\u00a051, No.\u00a02. pp.\u00a0824\u2014828. https:\/\/doi.org\/10.1103\/physrevd.51.824<\/a><\/li>\n
  115. Graziani\u00a0C., Harding\u00a0A.K., Sina\u00a0R. Elimination of resonant divergences from QED in superstrong magnetic fields.\u00a0Physical Review D<\/em>. 1995. Vol.\u00a051, No.\u00a012. pp.\u00a07097\u20147110. https:\/\/doi.org\/10.1103\/physrevd.51.7097<\/a><\/li>\n
  116. Kachelriess\u00a0M. Unstable states in QED of strong magnetic fields.\u00a0Physical Review D<\/em>. 1996. Vol.\u00a053, No.\u00a02. pp.\u00a0974\u2014979. https:\/\/doi.org\/10.1103\/physrevd.53.974<\/a><\/li>\n
  117. Milton\u00a0K.A., Tsai\u00a0W., DeRaad\u00a0L.L., Dass\u00a0N.D. Compton scattering in external magnetic fields. II. Spin-1\/2 charged particles.\u00a0Physical Review D<\/em>. 1974. Vol.\u00a010, No.\u00a04. pp.1299\u20141309. https:\/\/doi.org\/10.1103\/physrevd.10.1299<\/a><\/li>\n
  118. Herold\u00a0H. Compton and Thomson scattering in strong magnetic fields.\u00a0Physical Review D<\/em>. 1979. Vol.\u00a019, No.\u00a010. pp.\u00a02868\u20142875. https:\/\/doi.org\/10.1103\/physrevd.19.2868<\/a><\/li>\n
  119. Daugherty\u00a0J.K., Harding\u00a0A.K. Compton scattering in strong magnetic fields.\u00a0The Astrophysical J.<\/em> 1986. Vol.\u00a0309. P.\u00a0362. https:\/\/doi.org\/10.1086\/164608<\/a><\/li>\n
  120. Bussard\u00a0R.W., Alexander\u00a0S.B., Meszaros\u00a0P. One- and two-photon Compton scattering in strong magnetic fields.\u00a0Physical Review D<\/em>. 1986. Vol.\u00a034, No.\u00a02. pp.\u00a0440\u2014451. https:\/\/doi.org\/10.1103\/physrevd.34.440<\/a><\/li>\n
  121. Dermer\u00a0C.D. Compton scattering in strong magnetic fields and the continuum spectra of gamma-ray bursts \u2014 Basic theory.\u00a0The Astrophysical J.<\/em> 1990. Vol.\u00a0360. P.\u00a0197. https:\/\/doi.org\/10.1086\/169108<\/a><\/li>\n
  122. Harding\u00a0A.K., Daugherty\u00a0J.K. Cyclotron resonant scattering and absorption.\u00a0The Astrophysical J.<\/em> 1991. Vol.\u00a0374. P.\u00a0687. https:\/\/doi.org\/10.1086\/170153<\/a><\/li>\n
  123. Meisler\u00a0T.R. Low energy limit of Compton scattering in supersymmetric QED.\u00a0Physical Review D<\/em>. 1996. Vol.\u00a054, No.\u00a01. pp.\u00a0798\u2014807. https:\/\/doi.org\/10.1103\/physrevd.54.798<\/a><\/li>\n
  124. Gonthier\u00a0P.L., Harding\u00a0A.K., Baring\u00a0M.G. et al. Compton scattering in ultrastrong magnetic fields: numerical and analytical behavior in the relativistic regime.\u00a0The Astrophysical J.<\/em> 2000. Vol.\u00a0540, No.\u00a02. pp.\u00a0907\u2014922. https:\/\/doi.org\/10.1086\/309357<\/a><\/li>\n
  125. Fomin\u00a0P.I., Kholodov\u00a0R.I. Resonance Compton scattering in an external magnetic field.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2000. Vol.\u00a090. pp.\u00a0281\u2014286. https:\/\/doi.org\/10.1134\/1.559101<\/a><\/li>\n
  126. Fomin P.I., Kholodov R.I. Scattering of a photon by a ground-state electron in a strong magnetic field. Laser Physics<\/em>. 2000. Vol.\u00a010, No.\u00a05. pp.\u00a01150\u20141155.<\/li>\n
  127. Gonthier\u00a0P.L., Baring\u00a0M.G., Eiles\u00a0M.T. et al. Compton scattering in strong magnetic fields: spin-dependent influences at the cyclotron resonance.\u00a0Physical Review D<\/em>. 2014. Vol.\u00a090, No.\u00a04. P.\u00a0043014. https:\/\/doi.org\/10.1103\/physrevd.90.043014<\/a><\/li>\n
  128. Ternov\u00a0I.M., Bagrov\u00a0V.G., Khalilov\u00a0V.R., Rodionov\u00a0V.N. Intensity effects in the scattering of electromagnetic waves by electrons moving in an external magnetic field.\u00a0Physics of Atomic Nuclei<\/em>. 1975. Vol.\u00a022, No.\u00a05. pp.\u00a01040\u20141046. [in Russian].<\/li>\n
  129. Ng\u00a0Y.J., Tsai\u00a0W. Pair creation by photon-photon scattering in a strong magnetic field.\u00a0Physical Review D<\/em>. 1977. Vol.\u00a016, No.\u00a02. pp.\u00a0286\u2014294. https:\/\/doi.org\/10.1103\/physrevd.16.286<\/a><\/li>\n
  130. Zhukovsky\u00a0V.Ch., Nikitina\u00a0N.S. Induced two-photon production of electron-positron pairs in a magnetic field.\u00a0Physics of Atomic Nuclei<\/em>. 1974. Vol.\u00a019, No.\u00a01. pp.\u00a0148\u2014154. [in Russian].<\/li>\n
  131. Rodionov\u00a0V.N. Pair production in the scattering of a photon by an intense electromagnetic wave in a uniform magnetic field.\u00a0Soviet Physics JETP<\/em>. 1980. Vol.\u00a051, No.\u00a01. pp.\u00a052\u201458.<\/li>\n
  132. Lobanov\u00a0A.E., Muratov\u00a0A.R. Effect of magnetic field on the photoproduction of electron-positron pairs.\u00a0Soviet Physics JETP<\/em>. 1984. Vol.\u00a060, No.\u00a04. pp.\u00a0651\u2014653.<\/li>\n
  133. Kozlenkov\u00a0A.A., Mitrofanov\u00a0I.G. Two-photon production of e\u2013<\/sup>e+<\/sup> pairs in a strong magnetic field.\u00a0Soviet Physics JETP<\/em>. 1986. Vol.\u00a064, No.\u00a06. pp.\u00a01173\u20141179.<\/li>\n
  134. Burns\u00a0M.L., Harding\u00a0A.K. Pair production rates in mildly relativistic magnetized plasmas.\u00a0The Astrophysical J.<\/em> 1984. Vol.\u00a0285. pp.\u00a0747\u2014757. https:\/\/doi.org\/10.1086\/162552<\/a><\/li>\n
  135. Zhang\u00a0B., Qiao\u00a0G.J. Two-photon annihilation in the pair formation cascades in pulsar polar caps.\u00a0Astronomy and Astrophysics<\/em>. 1998. Vol.\u00a0338. pp.\u00a062\u201468.<\/li>\n
  136. Zhang\u00a0B. On the radio quiescence of anomalous x-ray pulsars and soft gamma-ray repeaters.\u00a0The Astrophysical J.<\/em> 2001. Vol.\u00a0562, No.\u00a01. pp.\u00a0L59\u2014L62. https:\/\/doi.org\/10.1086\/338051<\/a><\/li>\n
  137. Harding\u00a0A.K., Muslimov\u00a0A.G., Zhang\u00a0B. Regimes of pulsar pair formation and particle energetics.\u00a0The Astrophysical J.<\/em> 2002. Vol.\u00a0576, No.\u00a01. pp.\u00a0366\u2014375. https:\/\/doi.org\/10.1086\/341633<\/a><\/li>\n
  138. Baring\u00a0M.G., Harding\u00a0A.K. Pair production absorption troughs in gamma-ray burst spectra: a potential distance discriminator.\u00a0The Astrophysical J.<\/em> 1997. Vol.\u00a0481, No.\u00a02. pp.\u00a0L85\u2014L88. https:\/\/doi.org\/10.1086\/310665<\/a><\/li>\n
  139. Dunaev\u00a0M.A., Mikheev\u00a0N.V. Production of electron-positron pairs by a photon propagating in a strongly magnetized thermal bath.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2012. Vol.\u00a0114, No.\u00a03. pp.\u00a0365\u2014371. https:\/\/doi.org\/10.1134\/s1063776112020033<\/a><\/li>\n
  140. Zhukovskii\u00a0V.Ch., Nikitina\u00a0N.S. Induced two-photon synchrotron radiation and Compton scattering in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1973. Vol.\u00a037, No.\u00a04. pp.\u00a0595\u2014598.<\/li>\n
  141. Sokolov\u00a0A.A., Voloshchenko\u00a0A.M., Zhukovsky\u00a0V.Ch., Pavlenko\u00a0Yu.G. Two Photon Synchrotron Radiation.\u00a0Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika<\/em>. 1976. Vol.\u00a09. pp.\u00a046\u201452. [in Russian].<\/li>\n
  142. Semionova\u00a0L., Leahy\u00a0D. Two-photon emission process in arbitrarily strong magnetic fields.\u00a0Physical Review D<\/em>. 1999. Vol.\u00a060, No.\u00a07. P.\u00a0073011. https:\/\/doi.org\/10.1103\/physrevd.60.073011<\/a><\/li>\n
  143. Gutbrod\u00a0H.H., Augustin\u00a0I., Eickhoff\u00a0H. et al. FAIR Baseline Technical Report. Volume1 \u2014 Executive Summary. Darmstadt: GSI, 2006. 92\u00a0p. https:\/\/fair-center.eu\/for-users\/publications<\/a><\/li>\n
  144. Fortov\u00a0V.E., Sharkov\u00a0B.Y., St\u00f6cker\u00a0H. European Facility for Antiproton and Ion Research (FAIR): the new international center for fundamental physics and its research program.\u00a0Uspekhi Fizicheskih Nauk<\/em>. 2012. Vol.\u00a0182, No.\u00a06. pp.\u00a0621\u2014644. https:\/\/doi.org\/10.3367\/ufnr.0182.201206c.0621<\/a><\/li>\n
  145. Dirac\u00a0P.A.M. The quantum theory of the electron. Proceedings of the Royal Society A<\/em>. 1928. Vol.\u00a0117. pp.\u00a0610\u2014624.<\/li>\n
  146. Sommerfeld\u00a0A.Zur Quantentheorie der Spektrallinien.\u00a0Annalen der Physik<\/em>. 1916. Vol.\u00a0356, No.\u00a017. pp.\u00a01\u201494. https:\/\/doi.org\/10.1002\/andp.19163561702<\/a><\/li>\n
  147. Pomeranchuk\u00a0I.Ya., Smorodinsky\u00a0Ya.A. On energy levels in system with Z\u00a0>\u00a0137. J.\u00a0of Physics USSR<\/em>. 1945. Vol.\u00a09. P.\u00a097.<\/li>\n
  148. Akhiezer\u00a0A.I., Berestetskiy\u00a0A.I. Quantum electrodynamics. Oak Ridge, Tennesee: U. S. Atomic Energy Commission, Technical Inf. Service Extension, 1957. 549\u00a0p.<\/li>\n
  149. Zeldovich\u00a0Y.B., Popov\u00a0V.S. Electronic structure of superheavy atoms.\u00a0Uspekhi Fizicheskih Nauk<\/em>. 1972. Vol.\u00a014, No.\u00a06. pp.\u00a0673\u2014694. https:\/\/doi.org\/10.1070\/pu1972v014n06abeh004735<\/a><\/li>\n
  150. Pieper\u00a0W., Greiner\u00a0W. Interior electron shells in superheavy nuclei.\u00a0Zeitschrift f\u00fcr Physik A Hadrons and nuclei<\/em>. 1969. Vol.\u00a0218, No.\u00a04. pp.\u00a0327\u2014340. https:\/\/doi.org\/10.1007\/bf01670014<\/a><\/li>\n
  151. Soff\u00a0G., M\u00fcller\u00a0B., Rafelski\u00a0J. Precise values for critical fields in quantum electrodynamics.\u00a0Zeitschrift f\u00fcr Naturforschung A<\/em>. 1974. Vol.\u00a029, No.\u00a09. pp.\u00a01267\u20141275. https:\/\/doi.org\/10.1515\/zna-1974-0905<\/a><\/li>\n
  152. Popov\u00a0V.S. Spontaneous positron production in collisions between heavy nuclei.\u00a0Soviet Physics JETP<\/em>. 1974. Vol.\u00a038, No.\u00a01. pp.\u00a018\u201426.<\/li>\n
  153. M\u00fcller\u00a0B., Rafelski\u00a0J., Greiner\u00a0W. Auto-ionization of positrons in heavy ion collisions.\u00a0Zeitschrift f\u00fcr Physik A Hadrons and nuclei<\/em>. 1972. Vol.\u00a0257, No.\u00a03. pp.\u00a0183\u2014211. https:\/\/doi.org\/10.1007\/bf01401203<\/a><\/li>\n
  154. Backe\u00a0H., Handschug\u00a0L., Hessberger\u00a0F. et al. Observation of positron creation in superheavy ion-atom collision systems.\u00a0Physical Review Letters<\/em>. 1978. Vol.\u00a040, No.\u00a022. pp.\u00a01443\u20141446. https:\/\/doi.org\/10.1103\/physrevlett.40.1443<\/a><\/li>\n
  155. Backe\u00a0H., Senger\u00a0P., Boning\u00a0W. et al. Estimates of the nuclear time delay in dissipative U\u00a0+\u00a0U and U\u00a0+\u00a0Cm collisions derived from the shape of positron and -ray spectra.\u00a0Physical Review Letters<\/em>. 1983. Vol.\u00a050, No.\u00a023. pp.\u00a01838\u20141841. https:\/\/doi.org\/10.1103\/physrevlett.50.1838<\/a><\/li>\n
  156. Schweppe\u00a0J., Gruppe\u00a0A., Bethge\u00a0K. et al. Observation of a peak structure in positron spectra from U+Cm collisions.\u00a0Physical Review Letters<\/em>. 1983. Vol.\u00a051, No.\u00a025. pp.\u00a02261\u20142264. https:\/\/doi.org\/10.1103\/physrevlett.51.2261<\/a><\/li>\n
  157. Cowan\u00a0T., Backe\u00a0H., Begemann\u00a0M. et al. Anomalous positron peaks from supercritical collision systems.\u00a0Physical Review Letters<\/em>. 1985. Vol.\u00a054, No.\u00a016. pp.\u00a01761\u20141764. https:\/\/doi.org\/10.1103\/physrevlett.54.1761<\/a><\/li>\n
  158. Kozhuharov\u00a0C., Kienle\u00a0P., Berdermann\u00a0E. et al. Positrons from 1.4-GeV uranium-atomcollisions.\u00a0Physical Review Letters<\/em>. 1979. Vol.\u00a042, No.\u00a06. pp.\u00a0376\u2014379. https:\/\/doi.org\/10.1103\/physrevlett.42.376<\/a><\/li>\n
  159. Clemente\u00a0M., Berdermann\u00a0E., Kienle\u00a0P. et al. Narrow positron lines from U-U and U-Th collisions.\u00a0Physics Letters B<\/em>. 1984. Vol.\u00a0137, No.\u00a01\u20142. pp.\u00a041\u201446. https:\/\/doi.org\/10.1016\/0370-2693(84)91102-x<\/a><\/li>\n
  160. Tsertos\u00a0H., Berdermann\u00a0E., Bosch\u00a0F. et al. On the scattering-angle dependence of the monochromatic positron emission from U-U and U-Th collisions.\u00a0Physics Letters B<\/em>. 1985. Vol.\u00a0162, No.\u00a04. pp.\u00a0273\u2014276. https:\/\/doi.org\/10.1016\/0370-2693(85)90921-9<\/a><\/li>\n
  161. Koenig\u00a0W., Bosch\u00a0F., Kienle\u00a0P. et al. Positron lines from subcritical heavy ion-atom collisions.\u00a0Zeitschrift f\u00fcr Physik A Atomic Nuclei<\/em>. 1987. Vol.\u00a0328. pp.\u00a0129\u2014145. https:\/\/doi.org\/10.1007\/bf01290655<\/a><\/li>\n
  162. Koenig\u00a0W., Berdermann\u00a0E., Bosch\u00a0F. et al. On the momentum correlation of (e+<\/sup>e\u2212<\/sup>) pairs observed in U+U and U+Pb collisions.\u00a0Physics Letters B<\/em>. 1989. Vol.\u00a0218, No.\u00a01. pp.\u00a012\u201416. https:\/\/doi.org\/10.1016\/0370-2693(89)90466-8<\/a><\/li>\n
  163. Salabura\u00a0P., Backe\u00a0H., Bethge\u00a0K. et al. Correlated e+<\/sup>e\u2212<\/sup> peaks observed in heavy-ion collisions. Physics Letters B<\/em>. 1990. Vol.\u00a0245, No.\u00a02. pp.\u00a0153\u2014160. https:\/\/doi.org\/10.1016\/0370-2693(90)90126-q<\/a><\/li>\n
  164. Cowan\u00a0T., Backe\u00a0H., Bethge\u00a0K. et al. Observation of correlated narrow-peak structures in positron and electron spectra from superheavy collision systems.\u00a0Physical Review Letters<\/em>. 1986. Vol.\u00a056, No.5. pp.\u00a0444\u2014447. https:\/\/doi.org\/10.1103\/physrevlett.56.444<\/a><\/li>\n
  165. Kienle\u00a0P. Positrons from heavyion collisions.\u00a0Annual Review of Nuclear and Particle Science<\/em>. 1986. Vol.\u00a036, No.\u00a01. pp.\u00a0605\u2014648. https:\/\/doi.org\/10.1146\/annurev.ns.36.120186.003133<\/a><\/li>\n
  166. Ahmad\u00a0I., Austin\u00a0S.M., Back\u00a0B.B. et al. Search for narrow sum-energy lines in electron-positron pair emission from heavy-ion collisions near the Coulomb barrier.\u00a0Physical Review Letters<\/em>. 1995. Vol.\u00a075, No.\u00a014. pp.\u00a02658\u20142661. https:\/\/doi.org\/10.1103\/physrevlett.75.2658<\/a><\/li>\n
  167. Pokotilovsky\u00a0Yu.N. \u00abDarmstadt effect\u00bb and related issues.\u00a0Physics of Elementary Particles and Atomic Nuclei<\/em>. 1993. Vol.\u00a024, No.\u00a01. pp.\u00a05\u201480. [in Russian].<\/li>\n
  168. Fomin\u00a0P.I., Kholodov\u00a0R.I. The nature of the narrow peaks in the \u0435+<\/sup>\u0435–<\/sup> pair production in heavy-ion collisions.\u00a0Reports of the National Academy of Sci. of Ukraine<\/em>. 1998. Vol.\u00a012. pp.\u00a091\u201496. [in Russian].<\/li>\n
  169. Rumrich\u00a0K., Greiner\u00a0W., Soff\u00a0G. The influence of strong magnetic fields on position production in heavy-ion collisions.\u00a0Physics Letters A<\/em>. 1987. Vol.\u00a0125, No.\u00a08. pp.\u00a0394\u2014398. https:\/\/doi.org\/10.1016\/0375-9601(87)90168-x<\/a><\/li>\n
  170. Shabad\u00a0A.E. Photon dispersion in a strong magnetic field.\u00a0Annals of Physics<\/em>. 1975. Vol.\u00a090, No.\u00a01. pp.\u00a0166\u2014195. https:\/\/doi.org\/10.1016\/0003-4916(75)90144-x<\/a><\/li>\n
  171. Shabad\u00a0A.E. Polarization of vacuum and quantum relativistic gas in an external field.\u00a0Trudy FIAN<\/em>. 1988. Vol.\u00a0192. pp.\u00a05\u2014152. [in Russian].<\/li>\n
  172. Shabad\u00a0A.E. Photon propagation in a supercritical magnetic field.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2004. Vol.\u00a098. pp.\u00a0186\u2014196. https:\/\/doi.org\/10.1134\/1.1675886<\/a><\/li>\n
  173. Shabad\u00a0A.E., Usov\u00a0V.V. Real and virtual photons in an external constant electromagnetic field of most general form.\u00a0Physical Review D<\/em>. 2010. Vol.\u00a081, No.\u00a012. P.\u00a0125008. https:\/\/doi.org\/10.1103\/physrevd.81.125008<\/a><\/li>\n
  174. Khalilov\u00a0V.R., Mamsurov\u00a0I.V. Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field.\u00a0The European Physical J. C<\/em>. 2015. Vol.\u00a075, No.\u00a04. P.\u00a0167. https:\/\/doi.org\/10.1140\/epjc\/s10052-015-3389-6<\/a><\/li>\n
  175. Perez-Rojas\u00a0H. Polarization operator of electron-positron gas in a constant external magnetic field.\u00a0Soviet Physics JETP<\/em>. 1979. Vol.\u00a049. pp.\u00a01\u20148.<\/li>\n
  176. Skobelev\u00a0V.V. Propagation of photons in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1977. Vol.\u00a046. pp.\u00a0684\u2014686.<\/li>\n
  177. Heisenberg\u00a0W., Euler\u00a0H. Folgerungen aus der Diracschen Theorie des Positrons.\u00a0Zeitschrift f\u00fcr Physik<\/em>. 1936. Vol.\u00a098, No.\u00a011\u201412. pp.\u00a0714\u2014732. https:\/\/doi.org\/10.1007\/bf01343663<\/a><\/li>\n
  178. Euler\u00a0H., Kockel\u00a0B. \u00dcber die Streuung von Licht an Licht nach der Diracschen Theorie.\u00a0Die Naturwissenschaften<\/em>. 1935. Vol.\u00a023, No.\u00a015. pp.\u00a0246\u2014247. https:\/\/doi.org\/10.1007\/bf01493898<\/a><\/li>\n
  179. Akhieser\u00a0A., Landau\u00a0L., Pomeranchook\u00a0I. Scattering of light by light.\u00a0Nature<\/em>. 1936. Vol.\u00a0138. P.\u00a0206. https:\/\/doi.org\/10.1038\/138206a0<\/a><\/li>\n
  180. Klein\u00a0J.J., Nigam\u00a0B.P. Birefringence of the vacuum.\u00a0Physical Review<\/em>. 1964. Vol.\u00a0135, 5B. pp.\u00a0B1279\u2014B1280. https:\/\/doi.org\/10.1103\/physrev.135.b1279<\/a><\/li>\n
  181. Granovskii\u00a0Ya.I., Dimashko\u00a0Yu.A. The oscillator representation in Landau\u2019s problem of the motion of a particle in a uniform field.\u00a0Soviet Physics JETP<\/em>. 1975. Vol.\u00a041, No.\u00a06. pp.\u00a0996\u2014998.<\/li>\n
  182. Kruglov\u00a0S.I. Vacuum birefringence from the effective Lagrangian of the electromagnetic field.\u00a0Physical Review D<\/em>. 2007. Vol.\u00a075, No.\u00a011. P.\u00a0117301. https:\/\/doi.org\/10.1103\/physrevd.75.117301<\/a><\/li>\n
  183. Villalba-Chavez\u00a0S. The role of photon polarization modes in the magnetization and instability of the vacuum in a supercritical field.\u00a0Physics Letters B<\/em>. 2010. Vol.\u00a0692, No.\u00a05. pp.\u00a0317\u2014322. https:\/\/doi.org\/10.1016\/j.physletb.2010.08.002<\/a><\/li>\n
  184. Hattori\u00a0K., Itakura\u00a0K. Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels.\u00a0Annals of Physics<\/em>. 2013. Vol.\u00a0330. pp.\u00a023\u201454. https:\/\/doi.org\/10.1016\/j.aop.2012.11.010<\/a><\/li>\n
  185. Hattori\u00a0K., Itakura\u00a0K. Vacuum birefringence in strong magnetic fields: (II) Complex refractive index from the lowest Landau level.\u00a0Annals of Physics<\/em>. 2013. Vol.\u00a0334. pp.\u00a058\u201482. https:\/\/doi.org\/10.1016\/j.aop.2013.03.016<\/a><\/li>\n
  186. Shakeri\u00a0S., Kalantari\u00a0S.\u00a0Z., Xue\u00a0S. Polarization of a probe laser beam due to nonlinear QED effects.\u00a0Physical Review A<\/em>. 2017. Vol.\u00a095, No.\u00a01. P.\u00a0012108. https:\/\/doi.org\/10.1103\/physreva.95.012108<\/a><\/li>\n
  187. Mignani\u00a0R.P., Testa\u00a0V., Caniulef\u00a0D.G. et al. Evidence for vacuum birefringence from the first optical-polarimetry measurement of the isolated neutron star RX J1856.5\u22123754.\u00a0Monthly Notices of the Royal Astronomical Society<\/em>. 2016. Vol.\u00a0465, No.\u00a01. pp.\u00a0492\u2014500. https:\/\/doi.org\/10.1093\/mnras\/stw2798<\/a><\/li>\n
  188. Grib\u00a0A.A., Mamaev\u00a0S.G., Mostepanenko\u00a0V.M. Vacuum quantum effects in strong fields. Moscow: Energoatomizdat. 1973. 376\u00a0p. [in Russian].<\/li>\n
  189. Gitman\u00a0D.M., Fradkin\u00a0E.S., Shvartsman\u00a0Sh.M. Quantum electrodynamics with unstable vacuum. Moscow: Nauka, 1991. 296\u00a0p. [in Russian].<\/li>\n
  190. Akhiezer\u00a0A.I., Berestetskiy\u00a0A.I. Quantum electrodynamics. Moscow: Nauka, 1981. 432\u00a0p. [in Russian].<\/li>\n
  191. Berestetskiy\u00a0A.I., Lifshits\u00a0E.M., Pitaevsky\u00a0L.P. Quantum electrodynamics. Moscow: Nauka, 1989. 728\u00a0p. [in Russian].<\/li>\n
  192. Adler\u00a0S.L. Photon splitting and photon dispersion in a strong magnetic field.\u00a0Annals of Physics<\/em>. 1971. Vol.\u00a067, No.\u00a02. pp.\u00a0599\u2014647. https:\/\/doi.org\/10.1016\/0003-4916(71)90154-0<\/a><\/li>\n
  193. Skobov\u00a0V.G. Decay of a photon into two photons in a homogeneous magnetic field.\u00a0Soviet Physics JETP<\/em>. 1959. Vol.\u00a08, No.\u00a05. P.\u00a0919.<\/li>\n
  194. Sannikov\u00a0S.S. Fusion of photons in a uniform electromagnetic field.\u00a0Soviet Physics JETP<\/em>. 1967. Vol.\u00a025, No.\u00a05. P.\u00a0867.<\/li>\n
  195. Mentzel\u00a0M., Berg\u00a0D., Wunner\u00a0G. Photon splitting in strong magnetic fields. Physical Review D<\/em>. 1994. Vol.\u00a050, No.\u00a02. pp.\u00a01125\u20141139. https:\/\/doi.org\/10.1103\/
    \nphysrevd.50.1125<\/a><\/li>\n
  196. Weise\u00a0J.I., Baring\u00a0M.G., Melrose\u00a0D.B. Photon splitting in strong magnetic fields: S-matrix calculations.\u00a0Physical Review D<\/em>. 1998. Vol.\u00a057, No.\u00a09. pp.\u00a05526\u20145538. https:\/\/doi.org\/10.1103\/physrevd.57.5526<\/a><\/li>\n
  197. Baring\u00a0M.G., Dubois\u00a0D.M. Photon splitting and pair conversion in strong magnetic fields.\u00a0Computing Anticipatory Systems: CASYS\u201907\u2013Eighth Int. Conf.<\/em>, Liege (Belgium). 2008. Vol.\u00a01051. pp.\u00a053\u201461. https:\/\/doi.org\/10.1063\/1.3020681<\/a><\/li>\n
  198. Wolkov\u00a0D.M. Electron in the field of plane unpolarized electromagnetic waves from the point of view of the Dirac equation.\u00a0Soviet Physics JETP<\/em>. 1937. Vol.\u00a07, No.\u00a011. pp.\u00a01286\u20141289. [in Russian].<\/li>\n
  199. Yanovsky\u00a0V., Chvykov\u00a0V., Kalinchenko\u00a0G. et al. Ultra-high intensity- 300-TW laser at 0.1 Hz repetition rate.\u00a0Optics Express<\/em>. 2008. Vol.\u00a016, No.\u00a03. P.\u00a02109. https:\/\/doi.org\/10.1364\/oe.16.002109<\/a><\/li>\n
  200. Extreme light infrastructure (ELI). URL:\u00a0http:\/\/www5.extreme-light-infrastructure.eu<\/a>(date of access: 15.10.2018).<\/li>\n
  201. Exawatt center for extreme light studies (XCELS). URL:\u00a0https:\/\/xcels.ipfran.ru<\/a>(date of access: 15.10.2018).<\/li>\n
  202. Nikishov\u00a0A.I., Ritus\u00a0V.I. Quantum processes in the field of a plane electromagnetic wave and in a constant field. I.\u00a0Soviet Physics JETP<\/em>. 1964. Vol.\u00a019, No.\u00a02. pp.\u00a0529\u2014541.<\/li>\n
  203. Nikishov\u00a0A.I., Ritus\u00a0V.I. Quantum processes in the field of a plane electromagnetic wave and in a constant field.\u00a0Soviet Physics JETP<\/em>. 1964. Vol.\u00a019, No.\u00a05. pp.\u00a01191\u20141199.<\/li>\n
  204. Ternov\u00a0I.M., Bagrov\u00a0V.G., Khalilov\u00a0V.R. Quantum theory of radiation of a charge moving in a magnetic field and a plane wave.\u00a0Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika<\/em>. 1968. No.\u00a011. pp.\u00a0102\u2014107. [in Russian].<\/li>\n
  205. Nikishov\u00a0A.I. Intense external field problems in quantum electrodynamics.\u00a0Trudy FIAN<\/em>. 1979. Vol.\u00a0111. pp.\u00a0152\u2014271. [in Russian].<\/li>\n
  206. Mackenroth\u00a0F., Di\u00a0Piazza\u00a0A. Nonlinear Compton scattering in ultrashort laser pulses.\u00a0Physical Review A<\/em>. 2011. Vol.\u00a083, No.\u00a03. P.\u00a0032106. https:\/\/doi.org\/10.1103\/physreva.83.032106<\/a><\/li>\n
  207. Narozhny\u00a0N.B., Fedotov\u00a0A.M. Creation of electron-positron plasma with superstrong laser field.\u00a0The European Physical J. Special Topics<\/em>. 2014. Vol.\u00a0223, No.\u00a06. pp.\u00a01083\u20141092. https:\/\/doi.org\/10.1140\/epjst\/e2014-02159-1<\/a><\/li>\n
  208. Lebed\u2019\u00a0A.A., Roshchupkin\u00a0S.P. The influence of a pulsed light field on the electron scattering by a nucleus.\u00a0Laser Physics Letters<\/em>. 2008. Vol.\u00a05, No.\u00a06. pp.\u00a0437\u2014445. https:\/\/doi.org\/10.1002\/lapl.200810013<\/a><\/li>\n
  209. Kuchiev\u00a0M.Y., Robinson\u00a0D.J. Electron-positron pair creation by Coulomb and laser fields in the tunneling regime.\u00a0Physical Review A<\/em>. 2007. Vol.\u00a076, No.\u00a01. P.\u00a0112107. https:\/\/doi.org\/10.1103\/physreva.76.012107<\/a><\/li>\n
  210. Di\u00a0Piazza\u00a0A., Loetstedt\u00a0E., Milstein\u00a0A.I., Keitel\u00a0C.H. Barrier control in tunneling e+<\/sup>e\u2212<\/sup> photoproduction.\u00a0Physical Review Letters<\/em>. 2009. Vol.\u00a0103, No.\u00a017. P.\u00a0170403. https:\/\/doi.org\/10.1103\/physrevlett.103.170403<\/a><\/li>\n
  211. Voroshilo\u00a0A.I., Roshchupkin\u00a0S.P. Resonant scattering of a photon by an electron in the field of a circularly polarized electromagnetic wave.\u00a0Laser Physics Letters<\/em>. 2005. Vol.\u00a02, No.\u00a04. pp.\u00a0184\u2014189. https:\/\/doi.org\/10.1002\/lapl.200410165<\/a><\/li>\n
  212. Voroshilo\u00a0A.I., Roshchupkin\u00a0S.P., Denisenko\u00a0O.I. Resonance of exchange amplitude of Compton effect in the circularly polarized laser field.\u00a0The European Physical J. D<\/em>. 2006. Vol.\u00a041, No.\u00a02. pp.\u00a0433\u2014440. https:\/\/doi.org\/10.1140\/epjd\/e2006-00230-0<\/a><\/li>\n
  213. Voroshilo\u00a0A.I., Roshchupkin\u00a0S.P., Nedoreshta\u00a0V.N. Resonant scattering of photon by electron in the presence of the pulsed laser field.\u00a0Laser Physics<\/em>. 2011. Vol.\u00a021, No.\u00a09. pp.\u00a01675\u20141687. https:\/\/doi.org\/10.1134\/s1054660x11180010<\/a><\/li>\n
  214. Nedoreshta\u00a0V.N., Roshchupkin\u00a0S.P., Voroshilo\u00a0A.I. Resonance of the exchange amplitude of a photon by an electron scattering in a pulsed laser field. Physical Review A<\/em>. 2015. Vol.\u00a091, No.\u00a06. P.\u00a0062110. https:\/\/doi.org\/10.1103\/physreva.
    \n91.062110<\/a><\/li>\n
  215. Lebed\u2019\u00a0A.A., Roshchupkin\u00a0S.P. Nonresonant spontaneous bremsstrahlung by a relativistic electron scattered by a nucleus in the field of pulsed light wave.\u00a0The European Physical J. D<\/em>. 2009. Vol.\u00a053, No.\u00a01. pp.\u00a0113\u2014122. https:\/\/doi.org\/10.1140\/epjd\/e2009-00050-8<\/a><\/li>\n
  216. Lebed\u2019\u00a0A.A., Roshchupkin\u00a0S.P. Nonresonant spontaneous bremsstrahlung by a nonrelativistic electron scattered by a nucleus in the field of pulsed light wave.\u00a0Laser Physics Letters<\/em>. 2009. Vol.\u00a06, No.\u00a06. pp.\u00a0472\u2014481. https:\/\/doi.org\/10.1002\/lapl.200910012<\/a><\/li>\n
  217. Lebed\u2019\u00a0A.A., Roshchupkin\u00a0S.P. Resonant spontaneous bremsstrahlung by an electron scattered by a nucleus in the field of a pulsed light wave.\u00a0Physical Review A<\/em>. 2010. Vol.\u00a081, No.\u00a03. P.\u00a0033413. https:\/\/doi.org\/10.1103\/physreva.81.033413<\/a><\/li>\n
  218. Padusenko\u00a0E.A., Roshchupkin\u00a0S.P., Voroshilo\u00a0A.I. Nonresonant scattering of relativistic electron by relativistic muon in the pulsed light field.\u00a0Laser Physics Letters<\/em>. 2009. Vol.\u00a06, No.\u00a03. pp.\u00a0242\u2014251. https:\/\/doi.org\/10.1002\/lapl.200810121<\/a><\/li>\n
  219. Padusenko\u00a0E.A., Roshchupkin\u00a0S.P., Voroshilo\u00a0A.I. Nonresonant scattering of nonrelativistic electron by nonrelativistic muon in the pulsed light field.\u00a0Laser Physics Letters<\/em>. 2009. Vol.\u00a06, No.\u00a08. pp.\u00a0616\u2014623. https:\/\/doi.org\/10.1002\/lapl.200910038<\/a><\/li>\n
  220. L\u00f6tstedt\u00a0E., Jentschura\u00a0U.D. Nonperturbative treatment of double compton backscattering in intense laser fields.\u00a0Physical Review Letters<\/em>. 2009. Vol.\u00a0103, No.\u00a011. P.\u00a0110404. https:\/\/doi.org\/10.1103\/physrevlett.103.110404<\/a><\/li>\n
  221. L\u00f6tstedt\u00a0E., Jentschura\u00a0U.D. Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions.\u00a0Physical Review A<\/em>. 2009. Vol.\u00a080, No.\u00a05. P.\u00a0053419. https:\/\/doi.org\/10.1103\/physreva.80.053419<\/a><\/li>\n
  222. Di\u00a0Piazza\u00a0A., Milstein\u00a0A.I. Quasiclassical approach to high-energy QED processes in strong laser and atomic fields.\u00a0Physics Letters B<\/em>. 2012. Vol.\u00a0717, No.\u00a01. pp.\u00a0224\u2014228. https:\/\/doi.org\/10.1016\/j.physletb.2012.09.043<\/a><\/li>\n
  223. Di\u00a0Piazza\u00a0A., Mueller\u00a0C., Hatsagortsyan\u00a0K.Z., Keitel\u00a0C.H. Extremely high-intensity laser interactions with fundamental quantum systems.\u00a0Reviews of Modern Physics<\/em>. 2012. Vol.\u00a084, No.\u00a03. pp.\u00a01177\u20141228. https:\/\/doi.org\/10.1103\/revmodphys.84.1177<\/a><\/li>\n
  224. Roshchupkin\u00a0S.P., Voroshilo\u00a0A.I. Resonant and coherent effects of quantum electrodynamics in the light field. Kiev: Naukova Dumka, 2008. 400\u00a0p. [in Russian].<\/li>\n
  225. Roshchupkin\u00a0S.P., Lebed\u2019\u00a0A.A. Effects of quantum electrodynamics in the strong pulsed laser fields. Kiev: Naukova Dumka, 2013. 192\u00a0p. [in Russian].<\/li>\n
  226. Redmond\u00a0P.J. Solution of the Klein-Gordon and Dirac equation for a particle with a plane electromagnetic wave and a parallel magnetic field.\u00a0J. of Mathematical Physics<\/em>. 1965. Vol.\u00a06. pp.\u00a01163\u20141169. https:\/\/doi.org\/10.1063\/1.1704385<\/a><\/li>\n
  227. Oleinik\u00a0V.P. Green\u2019s function and quasi-energy spectrum of an electron in the field of an electromagnetic wave and a uniform magnetic field.\u00a0Ukrainian J. of Physics<\/em>. 1968. Vol.\u00a013, No.7. pp.\u00a01205\u20141214. [in Russian].<\/li>\n
  228. Borgardt\u00a0O.O., Karpenko\u00a0D.Ya. An electron in a homogeneous electromagnetic field and in a field of a plane arbitrarily polarized wave.\u00a0Ukrainian J. of Physics<\/em>. 1974. Vol.\u00a019, No.\u00a02. pp.\u00a0228\u2014236. [in Ukrainian].<\/li>\n
  229. Bagrov\u00a0V.G., Gitman\u00a0D.M., Rodionov\u00a0V.N. et al. Effect of a strong electromagnetic wave on the radiation emitted by weakly excited electrons moving in a magnetic field.\u00a0Soviet Physics JETP<\/em>. 1976. Vol.\u00a044, No.\u00a02. pp.\u00a0228\u2014231.<\/li>\n
  230. Rodionov\u00a0V.N. Photon emission by an electron in the field of an intense plane electromagnetic wave, with effects of a constant magnetic field included.\u00a0Soviet Physics JETP<\/em>. 1981. Vol.\u00a054, No.\u00a06. pp.\u00a01047\u20141053.<\/li>\n
  231. Oleinik\u00a0V.\u00a0P. Electron-positron pair production by photons in the field of an electromagnetic wave and in a homogeneous magnetic field.\u00a0Soviet Physics JETP<\/em>. 1972. Vol.\u00a034, No.\u00a01. pp.\u00a014\u201422.<\/li>\n
  232. Zhukovskii\u00a0V.Ch., Herrmann\u00a0J. Compton scattering and induced Compton scattering in a constant electromagnetic field.\u00a0Physics of Atomic Nuclei<\/em>. 1971. Vol.\u00a014, No.\u00a01. pp.\u00a0150\u2014159. [in Russian].<\/li>\n
  233. Zhukovskii\u00a0V.Ch. Bremsstrahlung from an electron passing by a nucleus situated in a constant external field.\u00a0Soviet Physics JETP<\/em>. 1974. Vol.\u00a039, No.\u00a01. pp.\u00a04\u20146.<\/li>\n
  234. Borisov\u00a0A.V., Zhukovskii\u00a0V.Ch. Photoproduction of electron-positron pairs on a nucleus in the presence of a constant external field.\u00a0Physics of Atomic Nuclei<\/em>. 1975. Vol.\u00a021, No.\u00a03. pp.\u00a0579\u2014585. [in Russian].<\/li>\n
  235. Bula\u00a0C., McDonald\u00a0K.T., Prebys\u00a0E.J. et al. Observation of nonlinear effects in compton scattering.\u00a0Physical Review Letters<\/em>. 1996. Vol.\u00a076, No.\u00a017. pp.\u00a03116\u20143119. https:\/\/doi.org\/10.1103\/physrevlett.76.3116<\/a><\/li>\n
  236. Burke\u00a0D.L., Berridge\u00a0S.C., Bula\u00a0C. et al. Positron production in multiphoton light-by-light scattering.\u00a0Physical Review Letters<\/em>. 1997. Vol.\u00a079, No.\u00a09. pp.\u00a01626\u20141629. https:\/\/doi.org\/10.1103\/physrevlett.79.1626<\/a><\/li>\n
  237. Bamber\u00a0C., Boege\u00a0J., Koffas\u00a0T. et al. Studies of nonlinear QED in collisions of 46.6 GeV electrons with intense laser pulses.\u00a0Physical Review D<\/em>. 1999. Vol.\u00a060, No.\u00a09. P.\u00a0092004. https:\/\/doi.org\/10.1103\/physrevd.60.092004<\/a><\/li>\n
  238. Bula\u00a0C., McDonald\u00a0K.T. Williams approximation to trident production in electron-photon collisions. arXiv:hep-ph\/0004117<\/li>\n
  239. Hu\u00a0H., M\u00fcller\u00a0C., Keitel\u00a0C.H. Complete QED theory of multiphoton trident pair production in strong laser fields.\u00a0Physical Review Letters<\/em>. 2010. Vol.\u00a0105, No.\u00a08. P.\u00a0080401. https:\/\/doi.org\/10.1103\/physrevlett.105.080401<\/a><\/li>\n
  240. Marklund\u00a0M., Shukla\u00a0P.K. Nonlinear collective effects in photon-photon and photon-plasma interactions.\u00a0Reviews of Modern Physics<\/em>. 2006. Vol.\u00a078, No.\u00a02. pp.\u00a0591\u2014640. https:\/\/doi.org\/10.1103\/revmodphys.78.591<\/a><\/li>\n
  241. Langer\u00a0S.H. Collisional excitation of electron Landau levels in strong magnetic fields.\u00a0Physical Review D<\/em>. 1981. Vol.\u00a023, No.\u00a02. pp.\u00a0328\u2014346. https:\/\/doi.org\/10.1103\/physrevd.23.328<\/a><\/li>\n
  242. Crooker\u00a0S.A., Samarth\u00a0N. Tuning alloy disorder in diluted magnetic semiconductors in high fields to 89T.\u00a0Applied Physics Letters<\/em>. 2007. Vol.\u00a090, No.\u00a010. P.\u00a0102109. https:\/\/doi.org\/10.1063\/1.2711370<\/a><\/li>\n
  243. Sakharov\u00a0A.D., Lyudaev\u00a0R.Z., Sminov\u00a0E.N. et al. Magnetic cumulation.\u00a0Doklady Akademii nauk SSSR<\/em>. 1965. Vol.\u00a0165, No.\u00a01. pp.\u00a065\u201468. [in Russian].<\/li>\n
  244. Selected works of A.D.\u00a0Sakharov.\u00a0Soviet Physics Uspekhi<\/em>. 1991. Vol.\u00a0161, No.\u00a05. pp.\u00a029\u2014120.<\/li>\n
  245. Sefcik J., Perry M.D., Lasinski B.F. et al. Gigagauss magnetic field generation from high intensity laser solid interactions.\u00a0Proceedings of the int. conf. on megagauss magnetic field generation and related topics<\/em>, Tallahassee, Florida, USA. 2004. https:\/\/doi.org\/10.1142\/9789812702517_0029<\/a><\/li>\n
  246. Wagner U., Tatarakis M., Gopal A. et al. Laboratory measurements of 0.7\u00a0GG magnetic fields generated during high-intensity laser interactions with dense plasmas.\u00a0Physical Review E<\/em>. 2004. Vol.\u00a070, No.\u00a02. P.\u00a0026401. https:\/\/doi.org\/10.1103\/physreve.70.026401<\/a><\/li>\n
  247. Gopal\u00a0A. Measurements of ultrastrong fields in laser produced plasmas: PhD Thesis. London University, 2004. 172\u00a0p. http:\/\/ethos.bl.uk\/OrderDetails.do?uin=uk.bl.
    \nethos.415337<\/a><\/li>\n
  248. Law K., Bailly-Grandvaux M., Morace A. et al. Direct measurement of kilo-tesla level magnetic field generated with laser-driven capacitor-coil target by proton deflectometry. Applied Physics Letters<\/em>. 2016. Vol.\u00a0108, No.\u00a09. P.\u00a0091104. https:\/\/doi.org\/10.1063\/1.4943078<\/li>\n
  249. Ehret M., Kochetkov Yu, Abe Y. et al. Kilotesla plasmoid formation by a trapped relativistic laser beam. arXiv:1908.11430v1<\/li>\n
  250. Zhang Zhe, Zhu Baojun, Li Yutong et al. Generation of strong magnetic fields with a laser-driven coil. High Power Laser Science and Engineering<\/em>. 2018. Vol.\u00a06, No. e38. https:\/\/doi.org\/10.1017\/hpl.2018.33<\/a><\/li>\n
  251. Kaluza M., Schlenvoigt H., Mangles S. et al. Measurement of magnetic-field structures in a laser-wakefield accelerator. Physical Review Letters.<\/em> 2010. Vol. 105, No. 11. P.\u00a0115002. https:\/\/doi.org\/10.1103\/physrevlett.105.115002<\/li>\n
  252. Walton B., Dangor A., Mangles S. et al. Measurements of magnetic field generation at ionization fronts from laser wakefield acceleration experiments. New J. of Physics<\/em>. 2013. Vol.\u00a015, No.\u00a02. P.\u00a0025034. https:\/\/doi.org\/10.1088\/1367-2630\/15\/2\/025034<\/li>\n
  253. Wang T., Toncian T., Wei M. et al. Structured targets for detection of Megatesla-level magnetic fields through Faraday rotation of XFEL beams. Physics of Plasmas<\/em>. 2019. Vol.\u00a026, No.\u00a01. P.\u00a0013105. https:\/\/doi.org\/10.1063\/1.5066109<\/li>\n
  254. Baring\u00a0M.G., Harding\u00a0A.K. Radio-quiet pulsars with ultrastrong magnetic fields.\u00a0The Astrophysical J<\/em>. 1998. Vol.\u00a0507, No.\u00a01. pp.\u00a0L55\u2014L58. https:\/\/doi.org\/10.1086\/311679<\/a><\/li>\n
  255. Price\u00a0D.J., Rosswog S. Producing ultrastrong magnetic fields in neutron star mergers.\u00a0Science<\/em>. 2006. Vol.\u00a0312, No.\u00a05774. pp.\u00a0719\u2014722. https:\/\/doi.org\/10.1126\/
    \nscience.1125201<\/a><\/li>\n
  256. Mereghetti\u00a0S. The strongest cosmic magnets: soft gamma-ray repeaters and anomalous X-ray pulsars.\u00a0The Astronomy and Astrophysics Review<\/em>. 2008. Vol.\u00a015, No.\u00a04. pp.\u00a0225\u2014287. https:\/\/doi.org\/10.1007\/s00159-008-0011-z<\/a><\/li>\n
  257. Revnivtsev\u00a0M., Mereghetti\u00a0S. Magnetic fields of neutron stars in X-ray binaries.\u00a0Space Science Reviews<\/em>. 2014. Vol.\u00a0191, No.\u00a01-4. pp.\u00a0293\u2014314. https:\/\/doi.org\/10.1007\/s11214-014-0123-x<\/a><\/li>\n
  258. Kaspi V.M., Beloborodov A.M. Magnetars. Annual Review of Astronomy and Astrophysics. 2017. Vol.\u00a055, No. 1. pp.\u00a0261\u2014301. https:\/\/doi.org\/10.1146\/annurev-astro-081915-023329<\/li>\n
  259. Shabad\u00a0A.E., Usov\u00a0V.V. Positronium collapse and the maximum magnetic field in pure QED.\u00a0Physical Review Letters<\/em>. 2006. Vol.\u00a096, No.\u00a018. P.\u00a0180401. https:\/\/doi.org\/10.1103\/physrevlett.96.180401<\/a><\/li>\n
  260. Leung\u00a0C.N., Wang\u00a0S.Y. Is there a maximum magnetic field in QED?\u00a0Physics Letters B<\/em>. 2009. Vol.\u00a0674, No.\u00a04-5. pp.\u00a0344\u2014347. https:\/\/doi.org\/10.1016\/j.physletb.
    \n2009.03.039<\/a><\/li>\n
  261. Newton\u00a0R.G. Atoms in superstrong magnetic fields.\u00a0Physical Review D<\/em>. 1971. Vol.\u00a03, No.\u00a02. pp.\u00a0626\u2014627. https:\/\/doi.org\/10.1103\/physrevd.3.626<\/a><\/li>\n
  262. Skobelev\u00a0V.V. Hydrogen-like atom in a superstrong magnetic field: photon emission and relativistic energy level shift.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2017. Vol.\u00a0124, No.\u00a06. pp.\u00a0877\u2014885. https:\/\/doi.org\/10.1134\/s1063776117050077<\/a><\/li>\n
  263. Shabad\u00a0A.E., Usov\u00a0V.V. \u03b3-Quanta capture by magnetic field and pair creation suppression in pulsars.\u00a0Nature<\/em>. 1982. Vol.\u00a0295, No.\u00a05846. pp.\u00a0215\u2014217. https:\/\/doi.org\/10.1038\/295215a0<\/a><\/li>\n
  264. Herold\u00a0H., Ruder\u00a0H., Wunner\u00a0G. Can \u03b3 quanta really be captured by pulsar magnetic fields?\u00a0Physical Review Letters<\/em>. 1985. Vol.\u00a054, No.\u00a013. pp.\u00a01452\u20141455. https:\/\/doi.org\/10.1103\/physrevlett.54.1452<\/a><\/li>\n
  265. Leinson\u00a0L.B., Perez\u00a0A. Relativistic approach to positronium levels in a strong magnetic field.\u00a0J. of High Energy Physics<\/em>. 2000. Vol.\u00a02000, No.\u00a011. P.\u00a0039. https:\/\/doi.org\/10.1088\/1126-6708\/2000\/11\/039<\/a><\/li>\n
  266. Lai\u00a0D. Matter and radiation in strong magnetic fields of neutron stars.\u00a0J. of Physics: Conf. Series<\/em>. 2006. Vol.\u00a031. pp.\u00a068\u201475. https:\/\/doi.org\/10.1088\/1742-6596\/31\/1\/011<\/a><\/li>\n
  267. Lai\u00a0D. Physics in very strong magnetic fields.\u00a0Space Science Reviews<\/em>. 2015. Vol.\u00a0191, No.\u00a01-4. pp.\u00a013\u201325. https:\/\/doi.org\/10.1007\/s11214-015-0137-z<\/a><\/li>\n
  268. Ruder H., Herold H., Geyer F., Wunner G. Atoms in strong magnetic fields: quantum mechanical treatment and applications in astrophysics and quantum chaos (astronomy and astrophysics library). Springer-Verlag Telos, 1994. 309\u00a0p.<\/li>\n
  269. Gusynin\u00a0V.P., Miransky\u00a0V.A., Shovkovy\u00a0I.A. Dynamical flavor symmetry breaking by a magnetic field in 2+1 dimensions.\u00a0Physical Review D<\/em>. 1995. Vol.\u00a052, No.\u00a08. pp.\u00a04718\u20144735. https:\/\/doi.org\/10.1103\/physrevd.52.4718<\/a><\/li>\n
  270. Gusynin\u00a0V.P., Miransky\u00a0V.A., Shovkovy\u00a0I.A. Dynamical chiral symmetry breaking by a magnetic field in QED.\u00a0Physical Review D<\/em>. 1995. Vol.\u00a052, No.\u00a08. pp.\u00a04747\u20144751. https:\/\/doi.org\/10.1103\/physrevd.52.4747<\/a><\/li>\n
  271. Gusynin\u00a0V.P., Miransky\u00a0V.A., Shovkovy\u00a0I.A. Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field.\u00a0Nuclear Physics B<\/em>. 1996. Vol.\u00a0462, No.\u00a02-3. pp.\u00a0249\u2014290. https:\/\/doi.org\/10.1016\/0550-3213(96)00021-1<\/a><\/li>\n
  272. Gusynin\u00a0V.P., Miransky\u00a0V.A., Shovkovy\u00a0I.A. Dynamical chiral symmetry breaking in QED in a magnetic field: toward exact results.\u00a0Physical Review Letters<\/em>. 1999. Vol.\u00a083, No.\u00a07. pp.\u00a01291\u20141294. https:\/\/doi.org\/10.1103\/physrevlett.83.1291<\/a><\/li>\n
  273. Gusynin\u00a0V.P., Smilga\u00a0A.V. Electron self-energy in strong magnetic field: summation of double logarithmic terms.\u00a0Physics Letters B<\/em>. 1999. Vol.\u00a0450, No.\u00a01-3. pp.\u00a0267\u2014274. https:\/\/doi.org\/10.1016\/s0370-2693(99)00145-8<\/a><\/li>\n
  274. Gusynin\u00a0V.P., Miransky\u00a0V.A., Shovkovy\u00a0I.A. Large N dynamics in QED in a magnetic field.\u00a0Physical Review D<\/em>. 2003. Vol.\u00a067, No.\u00a010. pp.\u00a0107703. https:\/\/doi.org\/10.1103\/physrevd.67.107703<\/a><\/li>\n
  275. Sadooghi\u00a0N., Jalili\u00a0A.S. New look at the modified Coulomb potential in a strong magnetic field.\u00a0Physical Review D<\/em>. 2007. Vol.\u00a076, No.\u00a06. P.\u00a0065013. https:\/\/doi.org\/10.1103\/physrevd.76.065013<\/a><\/li>\n
  276. Demchik\u00a0V., Skalozub\u00a0V. Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields.\u00a0Physics of Particles and Nuclei<\/em>. 2015. Vol.\u00a046, No.\u00a01. pp.\u00a01\u201423. https:\/\/doi.org\/10.1134\/s1063779615010037<\/a><\/li>\n
  277. Kostenko A., Thompson C. QED phenomena in an ultrastrong magnetic field. I. electron\u2013photon scattering, pair creation, and annihilation. The Astrophysical J<\/em>. 2018. Vol.\u00a0869, No.\u00a01. P.\u00a044. https:\/\/doi.org\/10.3847\/1538-4357\/aae0ef<\/li>\n
  278. Kostenko A., Thompson C. QED phenomena in an ultrastrong magnetic field. II. electron\u2013positron scattering, e \u00b1\u2013ion scattering, and relativistic bremsstrahlung. The Astrophysical J<\/em>. 2019. Vol.\u00a0875, No.\u00a01. P.\u00a023. https:\/\/doi.org\/10.3847\/1538-4357\/aae82e<\/li>\n
  279. Thompson C., Kostenko A. Pair plasma in super-qed magnetic fields and the hard x-ray\/optical emission of magnetars. The Astrophysical J<\/em>. 2020. Vol.\u00a0904, No.\u00a02. P.\u00a0184. https:\/\/doi.org\/10.3847\/1538-4357\/abbe87<\/li>\n
  280. Kholodov R.I., Baturin P.V. Polarization effect in synchrotron radiation in ultra-quantum approximation. Ukrainian J. of Physics<\/em>. 2001. Vol.\u00a046, No.\u00a05. pp.\u00a0621\u2014626. [in Ukrainian].<\/li>\n
  281. Fomin\u00a0P.I., Kholodov\u00a0R.I. Polarization effects in synchrotron radiation in strong magnetic field.\u00a0Problems of Atomic Science and Technology<\/em>. 2001. Vol.\u00a06, No.\u00a01. pp.\u00a0154\u2014156.<\/li>\n
  282. Novak O.P., Kholodov R.I. Polarization effects in the photon-induced process of electron-positron pair creation in a magnetic field, studied in the ultra-quantum-mechanical approximation. Ukrainian J. of Physics<\/em>. 2008. Vol.\u00a053, No.\u00a02. pp.\u00a0187\u2014195. [in Ukrainian].<\/li>\n
  283. Novak\u00a0O.P., Kholodov\u00a0R.I. Spin-polarization effects in the processes of synchrotron radiation and electron-positron pair production by a photon in a magnetic field.\u00a0Physical Review D<\/em>. 2009. Vol.\u00a080, No.\u00a02. P.\u00a0025025. https:\/\/doi.org\/10.1103\/physrevd.80.025025<\/a><\/li>\n
  284. Fomin\u00a0P.I., Kholodov\u00a0R.I. To the theory of resonant quantum-electrodynamic processes in an external magnetic field. Ukrainian J. of Physics<\/em>. 1999. Vol.\u00a044, No.\u00a012. pp.\u00a01526\u20141529. [in Ukrainian].<\/li>\n
  285. Voroshilo\u00a0O.I., Kholodov R.I. The Green function of an electron in constant homogeneous magnetic field and arbitrary flat wave field. Ukrainian J. of Physics<\/em>. 2002. Vol.\u00a047, No.\u00a04. pp.\u00a0317\u2014321. [in Ukrainian].<\/li>\n
  286. Fomin\u00a0P.I., Kholodov\u00a0R.I. Resonance double magnetic bremsstrahlung in a strong magnetic field.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2003. Vol.\u00a096, No.\u00a02. pp.\u00a0315\u2014320. https:\/\/doi.org\/10.1134\/1.1560403<\/a><\/li>\n
  287. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I. Resonant threshold two-photon \u0435–<\/sup>\u0435+<\/sup> pair production onto the lowest landau levels in a strong magnetic field.\u00a0Ukrainian J. of Physics<\/em>. 2014. Vol.\u00a059, No.\u00a09. pp.\u00a0849\u2014855. https:\/\/doi.org\/10.15407\/ujpe59.09.0849<\/a><\/li>\n
  288. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I. Resonant generation of an electron\u2013positron pair by two photons to excited Landau levels.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2015. Vol.\u00a0121, No.\u00a05. pp.\u00a0813\u2014818. https:\/\/doi.org\/10.1134\/s1063776115110126<\/a><\/li>\n
  289. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I. Pair production in a magnetic and radiation field in a pulsar magnetosphere.\u00a0Modern Physics Letters A<\/em>. 2015. Vol.\u00a030, No.\u00a025. P.\u00a01550111. https:\/\/doi.org\/10.1142\/s0217732315501114<\/a><\/li>\n
  290. Fomin\u00a0P.I., Kholodov\u00a0R.I. Photoproduction of the e+<\/sup>e\u2212<\/sup> pair with photon emission kinematics in strong magnetic field.\u00a0Problems of Atomic Science and Technology<\/em>. 2005. Vol.\u00a06. pp.\u00a043\u201445.<\/li>\n
  291. Fomin\u00a0P.I., Kholodov\u00a0R.I. Resonant photoproduction of e+<\/sup>e\u2212<\/sup> pair with photon emission in strong magnetic field.\u00a0Problems of Atomic Science and Technology<\/em>. 2007. Vol.\u00a03. pp.\u00a0179\u2014183.<\/li>\n
  292. Fomin\u00a0P.I., Kholodov\u00a0R.I. Electron-positron pair photo-production with radiation of a photon in magnetic field at nonresonant regime.\u00a0Problems of Atomic Sci. and Tech<\/em>. 2012. Vol.\u00a01. pp.\u00a0111\u2014114.<\/li>\n
  293. Bogolyubov\u00a0N.N, Shirkov\u00a0N.N. Introduction to the theory of quantized fields. Moscow: Nauka, 1984. 603\u00a0p. [in Russian].<\/li>\n
  294. Beams\u00a0J.W. Electric and magnetic double refraction.\u00a0Reviews of Modern Physics<\/em>. 1932. Vol.\u00a04, No.\u00a01. pp.\u00a0133\u2014172. https:\/\/doi.org\/10.1103\/revmodphys.4.133<\/a><\/li>\n
  295. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I. A cascade of e+<\/sup>e\u2212<\/sup> pair production by a photon with subsequent annihilation to a single photon in a strong magnetic field.\u00a0Laser Physics<\/em>. 2016. Vol.\u00a026, No.\u00a06. P.\u00a0066001. https:\/\/doi.org\/10.1088\/1054-660x\/26\/6\/066001<\/a><\/li>\n
  296. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I., Fomina\u00a0A.P. Electron-positron pair photoproduction in a strong magnetic field through the polarization cascade. Ukrainian J. of Physics<\/em>. 2020. Vol.\u00a065, No.\u00a03. P.\u00a0187. https:\/\/doi.org\/10.15407\/ujpe65.3.187<\/a><\/li>\n
  297. Diachenko\u00a0M.M., Novak\u00a0O.P., Kholodov\u00a0R.I. Vacuum birefringence in a supercritical magnetic field.\u00a0Ukrainian J. of Physics<\/em>. 2019. Vol.\u00a064, No.\u00a03. P.\u00a0181. https:\/\/doi.org\/10.15407\/ujpe64.3.181<\/a><\/li>\n
  298. Novak\u00a0O.P., Diachenko\u00a0M.M., Padusenko\u00a0E., Kholodov\u00a0R. Vacuum birefringence in the fields of a current coil and a guided electromagnetic wave.\u00a0Ukrainian J. of Physics<\/em>. 2018. Vol.\u00a063, No.\u00a011. P.\u00a0979. https:\/\/doi.org\/10.15407\/ujpe63.11.979<\/a><\/li>\n
  299. Novak\u00a0O.P., Kholodov\u00a0R.I., Fomin\u00a0P.I. Electron-positron pair production by an electron in a magnetic field near the process threshold.\u00a0J. of Experimental and Theoretical Physics<\/em>. 2010. Vol.\u00a0110, No.\u00a06. pp.\u00a0978\u2014982. https:\/\/doi.org\/10.1134\/s1063776110060075<\/a><\/li>\n
  300. Novak\u00a0O.P., Kholodov\u00a0R.I. Threshold electron-positron pair production by a polarized electron in a strong magnetic field.\u00a0Problems of Atomic Sci and Tech<\/em>. 2012. Vol.\u00a01. pp.\u00a0102\u2014104.<\/li>\n
  301. Novak\u00a0O.P., Kholodov\u00a0R.I. Electron-positron pair production by an electron in a magnetic field in the resonant case.\u00a0Physical Review D<\/em>. 2012. Vol.\u00a086, No.\u00a010. P.\u00a0105013. https:\/\/doi.org\/10.1103\/physrevd.86.105013<\/li>\n<\/ol>\n
    <\/div>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

    Authors: Kholodov R.I., Institute of Applied Physics of the National Academy of Sciences of Ukraine Scopus Autor ID: 6507456019 Novak O.P., Institute of Applied Physics of the National Academy of Sciences of Ukraine ORCID ID: https:\/\/orcid.org\/0000-0002-9316-4885 Scopus Autor ID:\u00a0 36658793200 Diachenko M.M., Institute of Applied Physics of the National Academy of Sciences of Ukraine ORCID […]<\/p>\n","protected":false},"author":1,"featured_media":3274,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21,24],"tags":[],"class_list":["post-3273","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-books","category-scientific_monographs","category-ukrainian_scientifical_book"],"_links":{"self":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/3273","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/comments?post=3273"}],"version-history":[{"count":19,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/3273\/revisions"}],"predecessor-version":[{"id":7628,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/3273\/revisions\/7628"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media\/3274"}],"wp:attachment":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media?parent=3273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/categories?post=3273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/tags?post=3273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}