Skip to main content
SpringerLink
Log in

Quantum effects of the interaction of elementary particles with an intense electromagnetic field

  • Published:
Journal of Soviet Laser Research Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. O. Klein, Z. Phys.,53, 157 (1929).

    Google Scholar 

  2. F. Sauter,ibid.,69, 742 (1931);73, 547.

    Google Scholar 

  3. H. Euler, Ann. Phys. (Leipzig),26, 398 (1936).

    Google Scholar 

  4. W. Heisenberg and H. Euler, Z. Phys.,98, 714 (1936).

    Google Scholar 

  5. V. Weisskopf, Kgl. Dan. Vid. Selsk. Skr. Mat.-Fys Medd.,14, No. 6 (1936).

  6. J. Schwinger, Phys. Rev.,82, 644 (1951).

    Google Scholar 

  7. N. Bohr, J. Chem. Soc., Feb. 1932, 349 (cited in [2]).

  8. A. Sommerfeld, Atomic Structure and Spectral Lines, Vol. 2, Methuen (1934).

  9. H. R. Reiss, J. Math. Phys.,3, 59 (1962).

    Google Scholar 

  10. A. I. Nikishov and V. I. Ritus, Zh. Eksp. Teor. Fiz.,46, 776 (1964).

    Google Scholar 

  11. A. I. Nikishov and V. I. Ritus,ibid., p. 1768 (.

    Google Scholar 

  12. N. B. Narozhnyi, A. I. Nikishov, and V. I. Ritus,ibid.,47, 931 (1964).

    Google Scholar 

  13. A. I. Nikishov and V. I. Ritus,ibid.,47, 1130 (1964).

    Google Scholar 

  14. A. I. Nikishov and V. I. Ritus, in: Proc. 12th Int. Conf. on High-Energy Physics, Vol. 1, Dubna (1964).

  15. A. I. Nikishov and V. I. Ritus, Zh. Eksp. Teor. Fiz.,53, 1707 (1967).

    Google Scholar 

  16. V. I. Ritus,ibid.,56, 986 (1969).

    Google Scholar 

  17. V. I. Ritus,ibid.,51, 1544 (1966).

    Google Scholar 

  18. I. I. Gol'dman,ibid.,46, 1412 (1964).

    Google Scholar 

  19. L. S. Brown and T. W. B. Kibble, Phys. Rev.,A133, 705 (1964).

    Google Scholar 

  20. D. M. Volkov, Z. Phys.,94, 250 (1935); Zh. Eksp. Teor. Fiz.,7, 1286 (1937).

    Google Scholar 

  21. N. P. Klepikov, Zh. Eksp. Teor. Fiz.,26, 19 (1954).

    Google Scholar 

  22. A. A. Sokolov, N. P. Klepikov, and I. M. Ternov, Zh. Eksp. Teor. Fiz.,24, 249 (1953).

    Google Scholar 

  23. J. Schwinger, Proc. Nat. Acad. Sci. USA,40, 132 (1954).

    Google Scholar 

  24. W. Pauli, General Principles of Quantum Mechanics, Springer-Verlag.

  25. Z. Fried, A. Baker and D. Karff, Phys. Rev.,151, 1040 (1966).

    Google Scholar 

  26. O. Roos,ibid.,150, 1112 (1966).

    Google Scholar 

  27. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, Oxford (1958).

    Google Scholar 

  28. L. D. Landau and E. M. Lifshitz, Classical Theory of Fields, Addison-Wesley, Reading (1951).

    Google Scholar 

  29. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, Oxford (1965).

    Google Scholar 

  30. R. P. Feynman, Phys. Rev.,76, 749, 769 (1949).

    Google Scholar 

  31. J. H. Eberly and H. R. Reiss, Phys. Rev.,145, 1035 (1966).

    Google Scholar 

  32. H. R. Reiss and J. H. Eberly,ibid.,151, 1058 (1966).

    Google Scholar 

  33. Vachaspati,ibid.,128, 664 (1962). Errata,130, 2598 (1963).

    Google Scholar 

  34. A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics, Interscience (1965).

  35. Z. Fried and J. H. Eberly, Phys. Rev.,B136, 871 (1964).

    Google Scholar 

  36. T. W. B. Kibble,ibid.,B138, 740 (1965).

    Google Scholar 

  37. L. M. Frantz,ibid.,B139, 1326 (1965).

    Google Scholar 

  38. P. Stehle and P. G. deBaryshe,ibid.,152, 1135 (1966).

    Google Scholar 

  39. J. H. Eberly, Phys. Rev. Lett.,15, 91 (1965).

    Google Scholar 

  40. N. J. Phillips and J. J. Sanderson, Phys. Lett.,21, 533 (1966).

    Google Scholar 

  41. H. R. Reiss, Phys. Rev. Lett.,17, 1162 (1966).

    Google Scholar 

  42. H. R. Reiss, Bull. Am. Phys. Soc.,11, 96 (1966).

    Google Scholar 

  43. H. R. Reiss,ibid., 323,(.

    Google Scholar 

  44. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

  45. V. I. Ritus, Candidate's Dissertation, Phys. Inst. Acad. Sci., Moscow (1958).

    Google Scholar 

  46. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory, Pergamon, Oxford (1971).

    Google Scholar 

  47. J. M. Jauch and F. Rohrlich, The Theory of Photons and Neutrons, Addison-Wesley, Cambridge (1955).

    Google Scholar 

  48. P. A. M. Dirac, The Principles of Quantum Mechanics, Clarendon Press, Oxford (1947).

    Google Scholar 

  49. L. V. Keldysh, Zh. Eksp. Teor. Fiz.,47, 1945 (1964).

    Google Scholar 

  50. A. I. Nikishov and V. I. Ritus,ibid.,50, 255 (1966).

    Google Scholar 

  51. A. I. Nikishov and V. I. Ritus,ibid.,52, 223 (1967).

    Google Scholar 

  52. N. B. Narozhnyi,ibid.,54, 676 (1968).

    Google Scholar 

  53. C. A. Hurst, Proc. R. Soc. London,214, 44 (1952).

    Google Scholar 

  54. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press (1966).

  55. B. A. Lippmann and J. Schwinger, Phys. Rev.,79, 469 (1950).

    Google Scholar 

  56. D. E. Aspnes,ibid.,147, 554 (1966).

    Google Scholar 

  57. I. I. Gol'dman, Problems of Elementary Particle Physics [in Russian], Armenian Acad. Sci. Press, Erevan (1964).

    Google Scholar 

  58. R. Feynman and M. Gell-Mann, Phys. Rev.,109, 193 (1958).

    Google Scholar 

  59. R. E. Marshak and E. C. G. Sudarshan,ibid.,109, 1860 (1958).

    Google Scholar 

  60. L. B. Okun, Weak Interaction of Elementary Particles, Pergamon, Oxford (1965).

    Google Scholar 

  61. T. D. Lee and C. S. Wu, Weak Interactions [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  62. A. Lenard, Phys. Rev.,90, 968 (1953).

    Google Scholar 

  63. T. Kinoshita and A. Sirlin,ibid.,108, 844 (1957).

    Google Scholar 

  64. R. E. Behrends, R. J. Finklestein, and A. Sirlin,ibid.,101, 866 (1956).

    Google Scholar 

  65. S. M. Berman,ibid.,112, 267 (1958).

    Google Scholar 

  66. N. P. Kuznetsov, Zh. Eksp. Teor. Fiz.,37, 1102 (1959).

    Google Scholar 

  67. T. Kinoshita and A. Sirlin, Phys. Rev.,113, 1652 (1959).

    Google Scholar 

  68. V. I. Ritus, Zh. Eksp. Teor. Fiz.,41, 1285 (1961).

    Google Scholar 

  69. V. N. Baier and V. M. Katkov, Dokl. Akad. Nauk SSSR,171, 313 (1966).

    Google Scholar 

  70. Ya. B. Zel'dovich,ibid.,97, 421 (1954).

    Google Scholar 

  71. E. Feenberg and H. Primakoff, Philos. Mag.,3, 328 (1958).

    Google Scholar 

  72. G. Da Prata and G. Putzolu, Nuovo Cim.,21, 541 (1961).

    Google Scholar 

  73. F. Dyson, Phys. Rev.,85, 631 (1952).

    Google Scholar 

  74. C. A. Hurst, Proc. R. Soc. London,214, 44 (1952); Proc. Cambridge Philos. Soc.,48, 625 (1952).

    Google Scholar 

  75. W. Thirring, Helv. Phys. Acta,26, 33 (1953).

    Google Scholar 

  76. B. L. Ioffe, Dokl. Akad. Nauk SSSR,94, 437 (1954).

    Google Scholar 

  77. H. R. Reiss, J. Math. Phys.,3, 387 (1962).

    Google Scholar 

  78. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Systems, Springer-Verlag, Berlin (1958).

    Google Scholar 

  79. J. M. Harriman, Phys. Rev.,101, 594 (1956).

    Google Scholar 

  80. H. A. Bethe, Phys. Rev.,72, 339 (1947).

    Google Scholar 

  81. H. Euler and B. Kockel, Naturwissenschaften,23, 246 (1935).

    Google Scholar 

  82. A. Achieser, Sow. Phys.,11, 8, 263 (1937).

    Google Scholar 

  83. R. Karplus and M. Neuman, Phys. Rev.,80, 380 (1950); 83, 776 (1951).

    Google Scholar 

  84. M. Delbrück, Z. Phys.,144 (1933).

  85. O. Halpern, Phys. Rev.,44, 855 (1933).

    Google Scholar 

  86. A. Achieser and I. Pomeranchuk, Sow. Phys.,11, 478 (1937).

    Google Scholar 

  87. N. Kemmer and G. Ludwig, Helv. Phys. Acta,10, 182 (1937).

    Google Scholar 

  88. G. Brėit and I. A. Wheeler, Phys. Rev.,46, 1087 (1934).

    Google Scholar 

  89. H. Bethe and W. Heitler, Proc. R. Soc. London,A146, 83 (1934).

    Google Scholar 

  90. F. Sauter, Ann. Phys. (Leipzig),20, 404 (1934).

    Google Scholar 

  91. H. A. Bethe and L. Maximon, Phys. Rev.,93, 768 (1954).

    Google Scholar 

  92. V. M. Galitskii and V. P. Yakovlev, Preprint, Inst. Nucl. Phys., Sib. Div. USSR Acad. Sci., Novosibirsk (1964).

  93. T. Erber, Rev. Mod. Phys.,38, 626 (1966).

    Google Scholar 

  94. N. B. Narozhnyi, Zh. Eksp. Teor. Fiz.,55, 714 (1968).

    Google Scholar 

  95. D. R. Yennie, S. C. Frautschi, and H. Suura, Ann. Phys. (N.Y.),13, 379 (1961).

    Google Scholar 

  96. V. A. Fock, Tables of Airy Functions [in Russian], Moscow (1946).

  97. J. Schwinger, Proc. Nat. Acad. Sci. USA,37, 452, 455 (1951).

    Google Scholar 

  98. V. I. Ritus, Pis'ma Zh. Eksp. Teor. Fiz.,12, 416 (1970).

    Google Scholar 

  99. V. I. Ritus, Zh. Eksp. Teor. Fiz.,57, 2176 (1969).

    Google Scholar 

  100. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience, New York (1959).

    Google Scholar 

  101. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Vol. 1, Clarendon Press, oxford (1927).

    Google Scholar 

  102. I. I. Privalov, Introduction to the Theory of Complex Variable [in Russian], OGIZ, Moscow (1945).

    Google Scholar 

  103. I. A. Batalin and A. E. Shabad, Preprint FIAN No. 166, Moscow (1928).

  104. V. I. Ritus, Doctoral Dissertation, FIAN, Moscow (1969).

  105. V. I. Ritus, Ann. Phys. (N. Y.),69, 555 (1972).

    Google Scholar 

  106. V. I. Ritus, Nucl. Phys.,B44, 236 (1972).

    Google Scholar 

  107. D. A. Morozov and V. I. Ritus,ibid.,B86, 309 (1975).

    Google Scholar 

  108. R. Karplus and N. M. Kroll, Phys. Rev.,77, 538 (1950).

    Google Scholar 

  109. C. M. Sommerfield,ibid.,107, 328 (1957).

    Google Scholar 

  110. C. M. Sommerfield, Ann. Phys. (N. Y.),5, 26 (1958).

    Google Scholar 

  111. A. I. Nikishov, Zh. Eksp. Teor. Fiz.,57, 1210 (1969).

    Google Scholar 

  112. V. A. Fock, Sow. Phys.,12, 404 (1937).

    Google Scholar 

  113. A. Erdelyi (ed.), Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York (1953).

    Google Scholar 

  114. V. I. Ritus, Pis'ma, Zh. Eksp. Teor. Fiz.,20, 135 (1974).

    Google Scholar 

  115. V. I. Ritus, Zh. Eksp. Teor. Fiz.,69, 1517 (1975).

    Google Scholar 

  116. V. I. Ritus, Preprint FIAN No. 93, Moscow (1976).

Download references

Authors
  1. V. I. Ritus
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Based on a dissertation required to obtain the degree of Doctor of Physicomathematical Sciences [104], and supplemented by Secs. 34–40 and by Appendix B.

Translated from Trudy Ordena Lenina Fizicheskogo Instituta im. P. N. Lebedeva Akad. Nauk SSSR, Vol. 111, pp. 5–151, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ritus, V.I. Quantum effects of the interaction of elementary particles with an intense electromagnetic field. J Russ Laser Res 6, 497–617 (1985). https://doi.org/10.1007/BF01120220

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01120220

Keywords

Search

Navigation