Stueckelberg’s Covariant Perturbation Theory

  • Jan Lacki


After a period of intensive research in molecular physics, Stueckelberg, back in Switzerland, became interested in 1934 in quantum electrodynamics.1 He was then Privatdozent at the University of Zurich with Professor Gregor Wentzel. QED was at that time a prominent topic and many among the most renowned physicists were contributing.2 In a letter to the president of the Schulrat of E. T. H. in Zürich (8 March 1934), W. Pauli writes: Dr. Stuckelberg has stated his desire to get deeper involved with QED and agrees with the nomination of Mr. Weisskopf.3


Gauge Invariance Quantum Electrodynamic Compton Scattering Lamb Shift Coulomb Gauge 
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  1. Bethe, H. and Fermi, E., Über die Wechselwirkung von zwei Elektronen, Zeit. f. Phys., vol. 77 (1932), pp. 296–306.MATHCrossRefADSGoogle Scholar
  2. Bethe, H. and Heitler, W., On the stopping of fast particles and the creation of positive electrons, Proc. Roy. Soc. A, vol. 146 (1933), pp. 83–112.ADSGoogle Scholar
  3. Bjorken, J.D. and Drell, S.D., Relativistic Quantum Mechanics. New York: McGraw-Hill Book Company, 1964.Google Scholar
  4. Bromberg, J., Dirac’s quantum electrodynamics and the wave-particle equivalence, in History of 20th Century Physics, Varenna 1977, C. Weiner (ed.). New York: Academic Press 1977, pp. 147–157.Google Scholar
  5. Brown, L. M., Introduction: Renormalization 1930-1950, in Renormalization. From Lorentz to Landau (and beyond), L. M. Brown (ed.).New York: Springer 1993, pp. 1–27.Google Scholar
  6. Brown, L. M. and Hoddeson, L. (eds), The Birth of Particle Physics. Cambridge: Cambridge Univ. Press, 1983.Google Scholar
  7. Cao, Ô. Õ, Conceptual Developments of 20th Century Field Theories. Cambridge: Cambridge University Press, 1997.MATHCrossRefGoogle Scholar
  8. Darrigol, O., Les débuts de la théorie quantique des champs, thèse de 3éme cycle, Université de Paris 1, 1982.Google Scholar
  9. Dirac, P. A. M., Relativity quantum mechanics with an application to Compton scattering, Proc. Roy. Soc. A, vol. 111 (1926), pp. 405–23.CrossRefADSGoogle Scholar
  10. Dirac, P. A. M., On the theory of quantum mechanics, Proc. Roy. Soc. A, vol. 112 (1926), pp. 661–77.CrossRefADSGoogle Scholar
  11. Dirac, P. A. M., The Compton effect in wave mechanics, Proceedings of the Cambridge Philosophical Society, vol. 23, Part V (1927), pp. 500–507.MATHCrossRefGoogle Scholar
  12. Dirac, P. A. M., The physical interpretation of quantum dynamics, Proc. Roy. Soc. A, vol. 113, (1927), pp. 621–641.CrossRefADSGoogle Scholar
  13. Dirac, P. A. M., The quantum theory of emission and absorption of radiation, Proc. Roy. Soc. A, vol. 114 (1927), pp. 243–265.CrossRefADSGoogle Scholar
  14. Dirac, P. A. M., The quantum theory of the electron, Proc. Roy. Soc. A, vol. 117 (1928), pp. 610–624.CrossRefADSGoogle Scholar
  15. Dirac, P. A. M., The quantum theory of the electron, Part II, Proc. Roy. Soc. A, vol. 118 (1928), pp. 351–361.CrossRefADSGoogle Scholar
  16. Dirac, P. A. M., Relativistic quantum mechanics, Proc. Roy. Soc. A, vol. 136 (1932), pp. 453–464.MATHCrossRefADSGoogle Scholar
  17. Dirac, P. A. M., Fock, V. A. and B. Podolsky, On quantum electrodynamics, Physikalische Zeitschrift der Sowjetunion, vol. 2(6), (1932), pp. 468–79.MATHGoogle Scholar
  18. Dyson, F. J., The radiation theories of Tomonaga, Schwinger, and Feynman, Phys. Rev., vol. 75 (1949), pp. 486–502.MATHCrossRefMathSciNetADSGoogle Scholar
  19. Enz, C. P., Glaus, B. and Oberkofler, G. (eds), Wolfgang Pauli und sein Wirken an der ETH Zürich. Zürich: Vdf Hochschulverlag an der ÅÔÇ ürich, 1997.MATHGoogle Scholar
  20. Fermi, E., Über die Theorie des Stosses zwischen Atomen und elektrisch geladenen Teilchen, Zeit. f. Phys., vol. 29 (1924), pp. 315–327.CrossRefADSGoogle Scholar
  21. Fermi, E., Quantum theory of radiation, Rev. Mod. Phys., vol. 4 (1932), pp. 87–132.MATHCrossRefADSGoogle Scholar
  22. Feynman, R. P., in “Conference on Physics-Pocono Manor, Pennsylvania, 30 March-1 April 1948, sponsored by the National Academy of Sciences”. According to Schweber (1994) p. 631 n143, the Pocono conference notes were prepared informally by J. A. Wheeler. See also Schweber (1994) pp. 436–445.Google Scholar
  23. Feynman, R. P., Space-time approach to quantum electrodynamics, Phys. Rev., vol. 76 (1949), pp. 769–789.MATHCrossRefMathSciNetADSGoogle Scholar
  24. Feynman, R. P., The theory of positrons, Phys. Rev., vol. 76 (1949), pp. 749–759, reprinted in Schwinger (1958), pp. 225–235.MATHCrossRefMathSciNetADSGoogle Scholar
  25. Franz, W., Die Streuung von Strahlung am magnetischen Elektron, Ann. d. Phys., vol. 33 (1938), pp. 689–707.MATHCrossRefADSGoogle Scholar
  26. Gell-Mann, M., Progress in elementary particle theory, 1950-1964, in: Pions to Quarks, Fermilab Symposium 1985, L. M. Brown, M. Dresden and L. Hoddeson (eds).Cambridge: Cambridge Univ. Press, 1989.Google Scholar
  27. Gordon, W., Der Comptoneffekt nach der Schrodingerschen Theorie, Zeit. f. Phys., vol. 40 (1926), pp. 117–133.CrossRefADSGoogle Scholar
  28. Heitler, W., The Quantum Theory of Radiation. Oxford: Clarendon Press, 1936.MATHGoogle Scholar
  29. Heisenberg, W., Bemerkung zur Diracschen Theorie des Positrons, Zeit. f. Phys., vol. 90 (1934), pp. 209–231.MATHCrossRefADSGoogle Scholar
  30. Heisenberg, W. and Pauli, W., Zur Quantentheorie der Wellenfelder I, Zeit. f. Phys., vol. 56 (1929), pp. 1–61.CrossRefADSGoogle Scholar
  31. Heisenberg, W. and Pauli, W., Zur Quantentheorie der Wellenfelder II, Zeit. f. Phys., vol. 59 (1930), pp. 168–190.CrossRefADSGoogle Scholar
  32. Jordan, P., Zur Quantenmechanik der Gasentartung, Zeit. f. Phys., vol. 44 (1927), pp. 473–480.CrossRefADSGoogle Scholar
  33. Jordan, P., Philosophical foundations of quantum theory, Nature, vol. 119 (1927), pp. 566–569, 779.MATHCrossRefADSGoogle Scholar
  34. Jost, R., Foundation of quantum field theory, in Aspects of Quantum Theory, A. Salam and E. Wigner (eds). Cambridge: Cambridge University Press 1972, pp. 61–77Google Scholar
  35. Klein, O., Quantentheorie und fünfdimensionale Relativitätstheorie, Zeit. f. Phys., vol. 37 (1926), pp. 895–906.CrossRefADSGoogle Scholar
  36. Klein, O., Elektrodynamik und Wellenmechanik vom Standpunkt des Korrespondenzprinzips, Zeit. f. Phys., vol. 41 (1927), pp. 407–442.CrossRefADSGoogle Scholar
  37. Klein, O. and Nishina, Y., Über die Streuung von Strahlung durch freie Elektronen nach der neuen relativistischen Quantendynamik von Dirac, Zeit. f. Phys., vol. 52 (1929), pp. 853–868.CrossRefADSGoogle Scholar
  38. Kragh, H., Relativistic collisions: The work of Christian Møller in the early 1930’s, AHES, vol. 43 (1992), pp. 299–328CrossRefMathSciNetGoogle Scholar
  39. Kramers, H. A. and Heisenberg, W., Über die Streuung von Strahlung durch Atome, Zeit. f. Phys., vol. 31 (1925), p. 681.CrossRefADSGoogle Scholar
  40. Lacki, J., Ruegg, H. and Telegdi, V., The road to Stueckelberg’s covariant perturbation theory as illustrated by successive treatments of Compton scattering, Studies in History and Philosophy of Modern Physics, vol. 30 (1999), pp. 457–518.CrossRefMathSciNetGoogle Scholar
  41. Møller, Ch., Über den Stoss zweier Teilchen unter der Berücksichtigung der Retardation der Krafte, Zeit. f. Phys., vol. 70 (1931), pp. 786–795.MATHCrossRefADSGoogle Scholar
  42. Nishina, Y., Die Polarisation der Comptonstreuung nach der Diracschen Theorie des Elektrons, Zeit. f. Phys., vol. 52 (1929), pp. 869–877.CrossRefADSGoogle Scholar
  43. Nishina, Y., Polarisation of Compton scattering according to Dirac’s new relativistic dynamics, Nature, vol. 123 (1929), p. 349.MATHCrossRefADSGoogle Scholar
  44. Pais, A., Inward Bound. Of Matter and Forces in the Physical World. Oxford: Clarendon Press, 1986.Google Scholar
  45. Pauli, W., Über die Intensität der Streustrahlung bewegter freier Elektronen, Helv. Phys. Acta, vol. 6 (1933) pp. 279–286.MATHGoogle Scholar
  46. Letter to Heisenberg, date: 5 Febr. 1937, in: Wolfgang Pauli. Wissenschaftlicher Briefwechsel, vol. II, 1930-1939, K. von Meyenn (ed.). Berlin: Springer Verlag, 1985, pp. 512–514.Google Scholar
  47. Roqué, X., Møller scattering: A neglected application of early quantum electrodynamics, AHES, vol. 44 (1992), pp. 187–264Google Scholar
  48. Sauter, F., Über die Bremsstrahlung schneller Elektronen, Ann. d. Phys., vol. 20 (1934), pp. 404–412.MATHCrossRefMathSciNetADSGoogle Scholar
  49. Schrodinger, E., Quantisierung als Eigenwertproblem (vierte Mitteilung), Ann. d. Phys., vol. 81(4) (1926), pp. 109–139.CrossRefADSGoogle Scholar
  50. Schweber, S. S., QED and the Men Who Made It. Princeton: Princeton Üniv. Press, 1994.MATHGoogle Scholar
  51. Schwinger, J., On radiative corrections to electron scattering, Phys. Rev., vol. 75 (1949), pp. 898–899, reprinted in Schwinger 1958, pp. 143–144.MATHCrossRefADSGoogle Scholar
  52. Schwinger, J. (ed), Quantum Electrodynamics. New York: Dover, 1958.MATHGoogle Scholar
  53. Sommerfeld, A., Zur Theorie des Zeeman-Effekts der Wasserstofflinien mit einem Anhang über den Stark-Effekt, Phys. Zs., vol. 17 (1916), pp. 309–325.Google Scholar
  54. Tamm, Ig., Über die Wechselwirkung der freien Elektronen mit der Strahlung nach der Diracschen Theorie des Elektrons und nach der Quantenelektrodynamik, Zeit. f. Phys., vol. 62 (1930), pp. 545–568.CrossRefADSGoogle Scholar
  55. Waller, I., Die Streuung von Strahlung durch gebundene und freie Elektronen nach der Diracschen relativistischen Mechanik, Zeit. f. Phys., vol. 61 (1930), pp. 837–851.CrossRefADSGoogle Scholar
  56. Wannier, G., Eine vereinfachte Ableitung der Klein-Nishina-Formel, Helv. Phys. Acta, vol. 8 (1935), pp. 665–673.MATHGoogle Scholar
  57. Weisskopf, V., Über die Selbstenergie des Elektrons, Zeit. f. Phys., vol. 89 (1934), pp. 27–39, and Berichtigung, Zeit. f. Phys., vol. 90 (1934), pp. 817–818.MATHCrossRefADSGoogle Scholar
  58. Weisskopf, V., The development of field theory in the last fifty years, Physics Today, Nov. 1981, pp. 69–85.Google Scholar
  59. Weisskopf, V., Growing up with field theory, the development of quantum electrodynamics, in: The Birth of Particle Physics (International Symposium on the History of Physics, Fermilab 1980), L. M. Brown and L. Hoddeson (eds).Cambridge: Cambridge Üniv. Press, 1983.Google Scholar
  60. Weizsacker, C. E v., Austrahlung bei Stössen sehr schneller Elektronen, Zeit. f. Phys., vol. 88 (1934), pp. 612–625.CrossRefADSGoogle Scholar
  61. Wentzel, G., Die Theorie des Compton-Effektes. I., Phys. Zeitschrift, vol. 26 (1925), pp. 436–454.Google Scholar
  62. Wentzel, G., Die mehrfach periodischen Systeme in der Quantenmechanik, Zeit. f. Phys., vol. 37 (1926), pp. 80–94.CrossRefADSGoogle Scholar
  63. Wentzel, G., Zur Theorie des Comptoneffekts, Zeit. f Phys., vol. 43 (1927), pp. 1–8 and 779–787.CrossRefADSGoogle Scholar
  64. Wentzel, G., Über den Rückstoss beim Comptoneffekt am Wasserstoffatom, Zeit. f. Phys., vol. 58 (1929), pp. 348–367.CrossRefADSGoogle Scholar
  65. Wentzel, G., Über die Eigenkräfte der Elementarteilchen I und II, Zeit. f. Phys., vol. 86 (1933), pp. 479–494 and 635–645.MATHCrossRefADSGoogle Scholar
  66. Wentzel, G., Über die Eigenkräfte der Elementarteilchen III, Zeit. f. Phys., vol. 87 (1934), pp. 726–733.MATHCrossRefADSGoogle Scholar
  67. Wentzel, G., Zur Frage der Aequivalenz von Lichtquanten und Korpuskelpaaren, Zeit. f. Phys., vol. 92 (1934), pp. 337–358.MATHCrossRefADSGoogle Scholar
  68. Wentzel, G., Quantum theory of fields (until 1947), in Theoretical Physics in the Twentieth Century, M. Fierz and V. F. Weisskopf (eds). New York: Interscience Publishers Inc., 1960, pp. 48–77.Google Scholar
  69. Williams, E. J., Nature of the high energy particles of penetrating radiation and status of ionization and radiation formula, Phys. Rev., vol. 45 (1934), pp. 729–730.CrossRefADSGoogle Scholar

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  • Jan Lacki

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