External Field Problems

  • J. M. Jauch
  • F. Rohrlich
Part of the Texts and Monographs in Physics book series (TMP)


Applications of the theory of the external field are numerous and of greatest importance. Many photon-electron processes of radiation theory are enhanced considerably when the incident photon is replaced by an external field. Of particular interest is the nuclear Coulomb field, since it is extremely strong. For example, Compton scattering is to be compared with Coulomb scattering, double Compton scattering with bremsstrahlung, pair production in photon-electron collisions with pair production by an electron in a Coulomb field. Similarly, the photon-photon processes come within the realm of observability: photon-photon scattering becomes Del brück scattering, and pair production in photon-photon collisions becomes pair production by a photon in a Coulomb field.


External Field Pair Production Radiative Correction Compton Scattering Born Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. R. H. Dalitz, Proc. Roy. Soc. (London) A206, 509 (1951).ADSMathSciNetGoogle Scholar
  2. W. A. McKinley and H. Feshbach, Phys. Rev. 74, 1759 (1948)CrossRefADSGoogle Scholar
  3. N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Oxford, 1949)MATHGoogle Scholar
  4. H. Mitter and P. Urban, Acta Phys. Austriaca 7, 311 (1953).MATHMathSciNetGoogle Scholar
  5. H. Feshbach, Phys. Rev. 88, 295 (1952)CrossRefMATHADSGoogle Scholar
  6. R. P. Feynman, Phys. Rev. 76, 769 (1949)CrossRefMATHADSMathSciNetGoogle Scholar
  7. J. Schwinger, Phys. Rev. 75, 898 (1949)CrossRefMATHADSGoogle Scholar
  8. L. R. B. Elton and H. H. Robertson, Proc. Phys. Soc. A65, 145 (1952).ADSGoogle Scholar
  9. E. M. Lyman, A. O. Hanson, and M. B. Scott, Phys. Rev. 84, 626 (1951).CrossRefADSGoogle Scholar
  10. W. Gordon, Z. Physik 50, 630 (1928).CrossRefADSGoogle Scholar
  11. J. Schwinger, Phys. Rev. 73, 416 (1948), and 76, 790 (1949).CrossRefMATHADSMathSciNetGoogle Scholar
  12. R. Karplus and N. M. Kroll, Phys. Rev. 77, 536 (1950)CrossRefMATHADSGoogle Scholar
  13. C. M. Sommerfield, Phys. Rev. 107, 328 (1957)CrossRefADSGoogle Scholar
  14. A. Petermann, Nucl. Phys. 5, 677 (1958).CrossRefMATHGoogle Scholar
  15. S. Koenig, A. G. Pradell, and P. Kusch, Phys. Rev. 88, 191 (1952)CrossRefADSGoogle Scholar
  16. P. Franken and S. Liebes, Phys. Rev. 104, 1197 (1956).CrossRefADSGoogle Scholar
  17. A. A. Schupp, R. W. Pidd, and H. R. Crane, Bull. Am. Phys. Soc. 4, 250 (1959).Google Scholar
  18. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 72, 241 (1947)CrossRefADSGoogle Scholar
  19. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 75, 1325 (1949)Google Scholar
  20. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 79, 549 (1950)CrossRefADSGoogle Scholar
  21. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 81, 222 (1951)CrossRefADSGoogle Scholar
  22. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 85, 259 (1952)CrossRefADSGoogle Scholar
  23. W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 86, 1014 (1952)CrossRefADSGoogle Scholar
  24. S. Triebwasser, E. S. Dayhoff, and W. E. Lamb, Jr., Phys. Rev. 89, 98 and 106 (1953).CrossRefADSGoogle Scholar
  25. L. I. Schiff, Quantum Mechanics, 2d ed., McGraw-Hill Book Co., New York, 1955.MATHGoogle Scholar
  26. H. A. Bethe, Phys. Rev. 72, 339 (1947).CrossRefADSGoogle Scholar
  27. M. Baranger, H. A. Bethe, and R. P. Feynman, Phys. Rev. 92, 482 (1953)CrossRefMATHADSMathSciNetGoogle Scholar
  28. H. A. Bethe, L. M. Brown, and J. R. Stehn, Phys. Rev. 77, 370 (1950).CrossRefADSGoogle Scholar
  29. E. E. Salpeter, Phys. Rev. 89, 92 (1953).CrossRefADSGoogle Scholar
  30. N. M. Kroll and W. E. Lamb, Phys. Rev. 75, 388 (1949)CrossRefMATHADSGoogle Scholar
  31. J. B. French and V. F. Weisskopf, Phys. Rev. 75, 1240 (1949)CrossRefMATHADSGoogle Scholar
  32. R. P. Feynman, Phys. Rev. 74, 1430 (1949)CrossRefADSMathSciNetGoogle Scholar
  33. R. P. Feynman, Phys. Rev. 76, 769 (1949)CrossRefMATHADSMathSciNetGoogle Scholar
  34. J. Schwinger, Pkys. Rev. 76, 790 (1949)CrossRefMATHADSMathSciNetGoogle Scholar
  35. H. Fukuda, Y. Miyamoto, and S. Tomonaga, Progr. Theor. Phys. (Japan) 4, 47 and 121 (1948).ADSMathSciNetGoogle Scholar
  36. R. Serber, Phys. Rev. 48, 49 (1935)CrossRefMATHADSGoogle Scholar
  37. A. E. Uehling, Phys. Rev. 48, 55 (1935).CrossRefMATHADSGoogle Scholar
  38. M. Baranger, H. A. Bethe, and R. P. Feynman, loc. cit., first reported by M. Baranger, Phys. Rev. 84, 866 (1951)CrossRefMATHADSGoogle Scholar
  39. R. Karplus, A. Klein, and J. Schwinger, Phys. Rev. 86, 288 (1952).CrossRefMATHADSGoogle Scholar
  40. M. Baranger, F. J. Dyson, E. E. Salpeter, Phys. Rev. 88, 680 (1952)CrossRefMATHADSGoogle Scholar
  41. R. Bersohn, J. Weneser, and N. M. Kroll, Phys. Rev. 86, 596 (1952)Google Scholar
  42. E. E. Salpeter, Phys. Rev. 87, 328 (1952).CrossRefMATHADSGoogle Scholar
  43. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two Electron Atoms, Springer Verlag, Berlin, and Academic Press, New York, 1957.MATHGoogle Scholar
  44. R. Karplus and A. Klein, Phys. Rev. 85, 972 (1952)CrossRefMATHADSGoogle Scholar
  45. N. M. Kroll and F. Pollock, Phya. Rev. 86, 876 (1952).CrossRefMATHADSGoogle Scholar
  46. M. M. May, Phys. Rev. 84, 265 (1951)CrossRefMATHADSGoogle Scholar
  47. R. L. Gluckstern, M. H. Hull, and G. Breit, Phys. Rev. 90, 1026 (1953)CrossRefMATHADSGoogle Scholar
  48. R. L. Gluckstern and M. H. Hull, Phys. Rev. 90, 1030 (1953).CrossRefMATHADSGoogle Scholar
  49. H. A. Bethe and W. Heitler, Proc. Roy. Soc. A146, 83 (1934)ADSGoogle Scholar
  50. F. Sauter, Ann. Physik 20, 404 (1934)CrossRefMATHADSMathSciNetGoogle Scholar
  51. W. Heitler, The Quantum Theory of Radiation, 3rd edition, Oxford, Clarendon Press, 1954.MATHGoogle Scholar
  52. A. Sommerfeld, Ann. Physik 11, 257 (1931)CrossRefMATHADSGoogle Scholar
  53. G. Elwert, Ann. Physik 34, 178 (1939)CrossRefMATHADSGoogle Scholar
  54. F. Sauter, Ann. Physik 18, 486 (1933)CrossRefMATHADSGoogle Scholar
  55. L. Wiedemann, Phys. Rev. 67, 321 (1945)CrossRefADSGoogle Scholar
  56. P. V. C. Hough, Phys. Rev. 74, 80 (1948)CrossRefMATHADSGoogle Scholar
  57. M. Stearns, Phys. Rev. 76, 836 (1949).CrossRefADSGoogle Scholar
  58. H. A. Bethe, Proc. Camb. Phil. Soc. 30, 524 (1934)CrossRefADSGoogle Scholar
  59. H. A. Bethe and L. C. Maximon, Phys. Rev. 93, 768 (1954)CrossRefADSMathSciNetGoogle Scholar
  60. H. Davies, H. A. Bethe, and L. C. Maximon, Phys. Rev. 93, 788 (1954).CrossRefADSMathSciNetGoogle Scholar
  61. W. H. Furry, Phys. Rev. 46, 391 (1934).CrossRefMATHADSGoogle Scholar
  62. H. A. Bethe and J. Ashkin, Penetration of Particles through Matter, published in E. Segrè, Experimental uclear Physics, Vol. I, John Wiley and Sons, Inc., New York, 1953.Google Scholar
  63. G. Racah, Nuovo Cimento 13, 69 (1936).Google Scholar
  64. R. Jost, J. M. Luttinger, and M. Slotnick, Phys. Rev. 80, 189 (1950).CrossRefMATHADSMathSciNetGoogle Scholar
  65. R. H. Dalitz, Proc. Roy. Soc. A206, 521 (1951)ADSMathSciNetGoogle Scholar
  66. Y. Nishina, S. Tomonaga, and S. Sakata, Sci. Papers Inst. Phys. and Chem. Res. (Japan) 24, No. 17 (1934)Google Scholar
  67. H. R. Hulme and J. C. Jaeger, Proc. Roy. Soc. 153, 443 (1936).CrossRefADSGoogle Scholar
  68. M. Delbrück, Z. Physik 84, 144 (1933)Google Scholar
  69. R. R. Wilson, Phys. Rev. 90, 720 (1953)CrossRefADSGoogle Scholar
  70. F. Rohrlich and R. L. Gluckstern, Phys. Rev. 86, 1 (1952).CrossRefMATHADSGoogle Scholar
  71. A. Achieser and I. Pomerantschuk, Physik. Z. Sowjetunion 11, 478 (1937).Google Scholar
  72. F. Rohrlich, Phys. Rev. 108, 169 (1957).CrossRefMATHADSGoogle Scholar
  73. H. A. Bethe and F. Rohrlich, Phys. Rev. 86, 10 (1952).CrossRefMATHADSGoogle Scholar
  74. H. Cheng and T. T. Wu, Phys. Rev. D5, 3077 (1972)ADSGoogle Scholar
  75. J. Kraus, Nuclear Phys. B89, 133 (1975).ADSGoogle Scholar
  76. V. Costantini et al., Nûovo Cim. A2, 733 (1971).CrossRefADSGoogle Scholar
  77. P. Kessler, J. Phys. Rad. 19, 739 (1958).CrossRefGoogle Scholar
  78. F. Ehlotzky and G. C. Sheppey, Nuovo Cim. 33, 1185 (1964).CrossRefMathSciNetGoogle Scholar
  79. W. Franz, Z. Physik 98, 314 (1936).CrossRefADSGoogle Scholar
  80. G. Jarlskog et al., Phys. Rev. D8, 3813 (1973)ADSGoogle Scholar
  81. S. Kahane and R. Moreh, Phys. Rev. C9, 2384 (1974)ADSGoogle Scholar
  82. M. Bolsterli, Phys. Rev. 4, 367 (1954)CrossRefADSGoogle Scholar
  83. A. P. Bukhvostov, Sov. Phys. JETP 16, 467 (1963)ADSGoogle Scholar
  84. D. Bocealletti et al., Nuovo Cim. 43, 1115 (1966)CrossRefADSGoogle Scholar
  85. Y. Shima, Phys. Rev. 142, 944 (1966)CrossRefADSGoogle Scholar
  86. S. Adler, Ann. Phys. 67, 599 (1971).CrossRefADSGoogle Scholar
  87. Z. Bialynicka-Birula and I. Bialynick- Birula, Phys. Rev. D2, 2341 (1970).ADSGoogle Scholar

Copyright information

© J. M. Jauch and F. Rohrlich 1976

Authors and Affiliations

  • J. M. Jauch
  • F. Rohrlich
    • 1
  1. 1.Department of PhysicsSyracuse UniversitySyracuseUSA

Personalised recommendations