Soviet Physics Journal

, Volume 20, Issue 10, pp 1322–1326 | Cite as

Canonical formalism and relativistic invariance of the Grossman-Peres classical electron model

  • A. G. Krylovetskii


The Grossman — Peres classical electron model is not explicitly a relativistic invariant. The relativistic invariance of the Grossman — Peres model is proved in this paper by the direct construction of Poincaré-group generators from integrals of the motion of the model under consideration. The generators found afford the possibility of obtaining also an expression for the 4-vector of coordinate-time.


Peris Canonical Formalism Relativistic Invariance Electron Model Direct Construction 
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Literature cited

  1. 1.
    Z. Grossman and A. Peres, Phys. Rev.,132, 2346 (1963).Google Scholar
  2. 2.
    A. Peres, Treatiseon Analytical Mechanics, Wiley, New York (1965).Google Scholar
  3. 3.
    A. G. Krylovetskii, Tr. Nauchn. Issled. Inst. Mekh. Voronezh. Gos. Univ., No. 13, 41 (1974).Google Scholar
  4. 4.
    H. Goldstein, Classical Mechanics [Russian translation], Moscow (1957).Google Scholar
  5. 5.
    F. Sfrocchi, Rev. Mod. Phys.,36, 36 (1966); V. F. Papulovskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 121 (1974).Google Scholar
  6. 6.
    M. Lorents and P. Roman, J. Math. Phys.,15, 70 (1974).Google Scholar
  7. 7.
    M. Pryce, Proc. R. Soc.,A195, 62 (1948).Google Scholar
  8. 8.
    J. M. Levy-Leblond, Ann. Phys. (USA),57, 488 (1970).Google Scholar
  9. 9.
    T. F. Jordan and N. Mukunda, Phys. Rev.,132, 1642 (1963).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • A. G. Krylovetskii
    • 1
  1. 1.Lenin Komsomol Voronezh State UniversityUSSR

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