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Second Quantization of the Stueckelberg Relativistic Quantum Theory and Associated Gauge Fields

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Abstract

The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields; An action is constructed and the second quantization of the fields carried out using a constraint procedure. The properties of the second quantized matter fields are discussed.

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REFERENCES

  1. E. C. G. Stueckelberg, Helv. Phys. Acta 14, 372, 588 (1941); 15, 23 (1942).

    Google Scholar 

  2. L. P. Horwitz and C. Piron, Helv. Phys. Acta 48, 316 (1974).

    Google Scholar 

  3. R. E. Collins and J. R. Fanchi, Nuovo Cimento A 48, 314 (1978); J. R. Fanchi and R. E. Collins, Found. Phys. 8, 851 (1978).

    Google Scholar 

  4. J. R. Fanchi, Parametrized Relativistic Quantum Theory (Kluwer Academic, Dordrecht, 1993).

    Google Scholar 

  5. J. R. Fanchi, Found. Phys. 11, 493 (1981); B. Thaller, J. Phys. A: Math. Gen. 14, 3067 (1981).

    Google Scholar 

  6. T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949).

    Google Scholar 

  7. L. Landau and R. Peierls, Z. Phys. 69, 56 (1931).

    Google Scholar 

  8. R. Arshansky and L. P. Horwitz, Found. Phys. 15, 701 (1985).

    Google Scholar 

  9. R. I. Arshansky and L. P. Horwitz, J. Math. Phys. 30, 66, 380 (1989).

    Google Scholar 

  10. K. Haller, Phys. Rev. D 36, 1830 (1987), and references therein; M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1992).

    Google Scholar 

  11. N. Shnerb and L. P. Horwitz, Phys. Rev A 48, 4068 (1993).

    Google Scholar 

  12. J. Schwinger, Phys. Rev. 74, 1439 (1948). S. Tomonaga, Prog. Theor. Phys. 1, 27 (1946). See H. Umezawa, Quantum Field Theory (North Holland, New York, 1956) for discussion.

    Google Scholar 

  13. D. Saad, L. P. Horwitz, and R. I. Arshansky, Found. Phys. 19, 1126 (1989).

    Google Scholar 

  14. J. D. Jackson, Classical Electrodynamics, 2nd edn. (Wiley, New York, 1975).

    Google Scholar 

  15. F. Rohrlich, Classical Charged Particles (Addison-Wesley, Redding, 1965, 1990).

    Google Scholar 

  16. M. C. Land and L. P. Horwitz, Found. Phys. 21, 299 (1991).

    Google Scholar 

  17. J. A. Wheeler and R. P. Feynman, Phys. Rev. 21, 425 (1949). See also R. P. Feynman, Phys. Rev. 80, 440 (1950). J. Schwinger, Phys. Rev. 82, 664 (1951).

    Google Scholar 

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Authors
  1. L. P. Horwitz
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  2. N. Shnerb
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Horwitz, L.P., Shnerb, N. Second Quantization of the Stueckelberg Relativistic Quantum Theory and Associated Gauge Fields. Foundations of Physics 28, 1509–1519 (1998). https://doi.org/10.1023/A:1018841000237

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