Skip to main content
SpringerLink
Log in

Non-Lie integrals of the motion for particles of arbitrary spin and for systems of interacting particles

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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. P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford (1958).

  2. M. H. Johnson and B. A. Lippmann, Phys. Rev.,77, 702 (1950).

    Google Scholar 

  3. G. Breit, Phys. Rev.,34, 553 (1929).

    Google Scholar 

  4. A. O. Barut and S. Komy, Fortschr. Phys.,33, 309 (1985).

    Google Scholar 

  5. W. Krolikowski and I. Rzewuski, Acta Phys. Pol.,7, 487 (1976).

    Google Scholar 

  6. A. A. Khelashvili, Teor. Mat. Fiz.,51, 201 (1982).

    Google Scholar 

  7. R. W. Childers, Phys. Rev. D,26, 2902 (1982).

    Google Scholar 

  8. W. Krolikowski, Acta Phys. Pol. B,15, 927 (1984).

    Google Scholar 

  9. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  10. N. Kh. Ibragimov, Transformation Groups in Mathematical Physics [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  11. P. Olver, Application of Lie Groups to Differential Equations [Russian translation], Mir, Moscow (1989).

    Google Scholar 

  12. V. I. Fushchich, Dokl. Akad. Nauk SSSR,246, 846 (1979).

    Google Scholar 

  13. V. I. Fushchich and A. G. Nikitin, Fiz. Elem. Chastits At. Yadra,14, 5 (1983).

    Google Scholar 

  14. W. I. Fushchich and A. G. Nikitin, Symmetries of Maxwell's Equations, Reidel, Dordrecht (1987); (shortened version: The Symmetry of Maxwell's Equations [in Russian], Naukova Dumka, Kiev (1983)); V. I. Fushchich, L. F. Barannik, and A. F. Barannik, The Subgroup Structure of the Galileo and Poincaré Groups and Reductions in Nonlinear Equations [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  15. M. L. de Amaral and N. Zagury, Phys. Rev. D,26, 3119 (1982).

    Google Scholar 

  16. V. I. Fushchich and A. G. Nikitin, The Symmetry of the Equations of Quantum Mechanics [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  17. E. Stueckelberg, Helv. Phys. Acta,11, 225 (1938).

    Google Scholar 

  18. I. M. Gel'fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and their Applications, Pergamon Press, Oxford (1963).

    Google Scholar 

  19. W. Rarita and J. Schwinger, Phys. Rev.,60, 61 (1941).

    Google Scholar 

  20. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One and Two Electron Atoms, Springer, Berlin (1957).

    Google Scholar 

  21. P. A. M. Dirac, Proc. R. Soc. London, Ser. A,155, 447 (1936).

    Google Scholar 

  22. M. Fierz and W. Pauli, Proc. R. Soc. London, Ser. A,173, 211 (1939).

    Google Scholar 

  23. R. A. Kraicik and M. M. Nieto, Phys. Rev. D,10, 4049 (1974).

    Google Scholar 

  24. J.-M. Levy-Leblond, Commun. Math. Phys.,6, 286 (1967).

    Google Scholar 

  25. W. J. Hurley, Phys. Rev. D,3, 2339 (1971).

    Google Scholar 

  26. A. G. Nikitin and V. I. Fushchich, Teor. Mat. Fiz.,44, 34 (1980).

    Google Scholar 

Download references

Authors
  1. A. G. Nikitin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Fushchich
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mathematics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 88, No. 3, pp. 406–415, September, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikitin, A.G., Fushchich, V.I. Non-Lie integrals of the motion for particles of arbitrary spin and for systems of interacting particles. Theor Math Phys 88, 960–967 (1991). https://doi.org/10.1007/BF01027697

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01027697

Keywords

Search

Navigation