Skip to main content
SpringerLink
Log in

Generalized algebras of supersymmetric quantum mechanics

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

Abstract

The structure of realizations of generalized algebras of supersymmetric quantum mechanics (GSQM algebras) with several commuting involutions is described. Quantum Hamiltonians possessing such generalized supersymmetry are constructed. The connection between GSQM algebras and the algebras of extended supersymmetry is considered.

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

Similar content being viewed by others

References

  1. Yu. A. Gel'fand and E. P. Likhtman,Pis'ma Zh. Eksp. Teor. Fiz.,13, 452 (1971).

    Google Scholar 

  2. D. V. Volkov and V. P. Akulov,Pis'ma Zh. Eksp. Teor. Fiz.,16, 621 (1972).

    Google Scholar 

  3. J. Wess and B. Zumino,Nucl. Phys. B,70, 39 (1974).

    Google Scholar 

  4. E. Witten,Nucl. Phys. B,185, 513 (1981).

    Google Scholar 

  5. M. De Crombrugghe and V. Rittenberg,Ann. Phys. (N. Y.),151, 99 (1983).

    Google Scholar 

  6. A. A. Andrianov, N. V. Borisov, M. V. Ioffe, and M. I. Éides,Teor. Mat. Fiz.,61, 17 (1984).

    Google Scholar 

  7. L. Alvarez-Gaume,Commun. Math. Phys.,114, 161 (1983).

    Google Scholar 

  8. N. V. Borisov, W. Muller, and R. Schrader,Commun. Math. Phys.,144, 475 (1988).

    Google Scholar 

  9. A. A. Andrianov, N. V. Borisov, and N. V. Ioffe,Teor. Mat. Fiz.,72, 97 (1987).

    Google Scholar 

  10. V. P. Berezovoi and A. I. Pashnev,Teor. Mat. Fiz.,78, 289 (1989).

    Google Scholar 

Download references

Authors
  1. N. V. Borisov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. N. Il'inskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. M. Uzdin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

St Petersburg State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 3, pp. 418–425, March, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borisov, N.V., Il'inskii, K.N. & Uzdin, V.M. Generalized algebras of supersymmetric quantum mechanics. Theor Math Phys 94, 294–299 (1993). https://doi.org/10.1007/BF01017261

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017261

Keywords

Search

Navigation