Skip to main content
Log in

Quantum mechanics on nontrivial fiber bundles associated with a monopole

  • 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

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, Proc. R. Soc., London, Ser. A,133, 60 (1931).

    Google Scholar 

  2. I. E. Tamm, Z. Phys.,71, 141 (1931).

    Google Scholar 

  3. T. T. Wu and C. N. Yang, Phys. Rev. D,12, 3845 (1975).

    Google Scholar 

  4. W. Greub and H. R. Petry, J. Math.,216, 1347 (1975).

    Google Scholar 

  5. M. A. Solov'ev, Pis'ma Zh. Eksp. Teor. Fiz.,39, 2 (1984).

    Google Scholar 

  6. H. R. Petry, Electron Scattering on Magnetic Monopole (Lecture Notes in Mathematics, Vol. 836), Springer, Berlin (1980), pp. 406–419.

    Google Scholar 

  7. A. Trautman, Int. J. Theor. Phys.,16, 561 (1977).

    Google Scholar 

  8. P. A. Horvathy, J. Theor. Phys.,20, 697 (1980).

    Google Scholar 

  9. T. T. Wu and C. N. Yang, Nucl. Phys. B,107, 365 (1976).

    Google Scholar 

  10. M. A. Solov'ev, Pis'ma Zh. Eksp. Teor. Fiz.,36, 552 (1982).

    Google Scholar 

  11. S. P. Novikov, Usp. Mat. Nauk,37, 3 (1982).

    Google Scholar 

  12. P. P. Banderet, Helv. Phys. Acta,19, 503 (1946).

    Google Scholar 

  13. K. Ford and J. A. Wheeler, Ann. Phys. (N.Y.),7, 287 (1959).

    Google Scholar 

  14. A. S. Goldhaber, Phys. Rev. B,140, 1407 (1965).

    Google Scholar 

  15. J. Schwinger et al., Ann. Phys (N.Y.),101, 451 (1976).

    Google Scholar 

  16. Harish-Chandra, Phys. Rev.,74, 883 (1948).

    Google Scholar 

  17. D. Boulware et al., Phys. Rev. D,14, 2708 (1976).

    Google Scholar 

  18. Y. Kazama, C. N. Yang, and A. S. Goldhaber, Phys. Rev. D,15, 2287 (1977).

    Google Scholar 

  19. H. Kleinert, Phys. Lett. A,116, 201 (1986).

    Google Scholar 

  20. R. Jackiw, Ann. Phys. (N.Y.),129, 183 (1980).

    Google Scholar 

  21. V. L. Golo, Pis'ma Zh. Eksp. Teor. Fiz.,35, 663 (1982).

    Google Scholar 

  22. L. G. Feher, J. Math. Phys.,28, 234 (1987).

    Google Scholar 

  23. A. G. Savinkov, Pis'ma Zh. Eksp. Teor. Fiz.,47, 13 (1988).

    Google Scholar 

  24. R. M. MacLean, Homological Algebra [Russian translation], Mir, Moscow (1966).

    Google Scholar 

  25. L. Crane, Commun. Math. Phys.,110, 391 (1987).

    Google Scholar 

  26. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. 1, Interscience, New York (1963).

    Google Scholar 

  27. A. S. Goldhaber, Phys. Rev. Lett.,36, 1122 (1976).

    Google Scholar 

  28. S. Coleman, The Magnetic Monopole Fifty Years Later, Preprint, Harvard University, Cambridge (1981).

    Google Scholar 

  29. A. G. Savinkov and I. S. Shapiro, Pis'ma Zh. Eksp. Teor. Fiz.,47, 292 (1988).

    Google Scholar 

  30. J. L. Friedman and R. D. Sorkin, Phys. Rev. D,20, 2511 (1979).

    Google Scholar 

Download references

Authors

Additional information

P. N. Lebedev Physics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 88, No. 3, pp. 376–405, September, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ryzhov, A.B., Savinkov, A.G. Quantum mechanics on nontrivial fiber bundles associated with a monopole. Theor Math Phys 88, 938–960 (1991). https://doi.org/10.1007/BF01027696

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01027696

Keywords

Navigation