Skip to main content
Log in

Functional integral in supersymmetric quantum mechanics

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

The solution of the square root of the Schrödinger equation for supersymmetric quantum mechanics is expressed in the form of series. The formula may be considered as a functional integral of the chronological exponent of the superpseudodifferential operator symbol over the superspace.

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.

Similar content being viewed by others

References

  1. FeynmanR. P. and HibbsA.,Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.

    Google Scholar 

  2. KacM., Proc. 2nd Berkeley Symp. Math. Stat. Prob., Univ. Calif. Press, Berkeley, 1951, p. 189; Ito, K., Proc. 4th Berkeley Symp. Math. Stat. Prob., Univ. Calif. Press, Berkeley, 1961, p. 227; Proc. 5th Berkeley Symp. Math. Stat. Prob., Univ. Calif. Press, Berkeley, 1967, p. 145.

    Google Scholar 

  3. DaletskiîYu. L. and FominS. V.,Measures and Differential Equations in Infinite-Dimensional Spaces, Nauka, Moscow, 1983 (in Russian); see also references to ch. VI.

    Google Scholar 

  4. BerezinF. A.,Introduction to Superanalysis, D. Reidel, Dordrecht, 1986; Rogers, A.,J. Math. Phys. 22, 939 (1981); DeWitt, B.,Supermanifolds, Cambridge Univ. Press, Cambridge, 1984; Vladimirov, V. S. and Volovich, I. V.,Theor. Math. Fiz. 59, 3;60, 169 (1984).

    Google Scholar 

  5. SmolyanovO. G. and ShavgulidzeE. T.,Doklady Acad. Nauk USSR,299, 816 (1988).

    Google Scholar 

  6. BerezinF. A.,Theor. Math. Fiz. 6, 194 (1971).

    Google Scholar 

  7. KhrennikovA. Yu.,Theor. Math. Fiz. 73, 420 (1987);Usp. Matem. Nauk 43, 87 (1988);Diff. Uravn. 24, 2144 (1988);25, 314 (1989).

    Google Scholar 

  8. RogersA.,Phys. Lett. B 193, 48 (1987);213, 37 (1988);Comm. Math. Phys. 113, 353 (1987).

    Google Scholar 

  9. NagamachiS. and KobayashiY.,Lett. Math. Phys. 14, 15 (1987);15, 17 (1988).

    Google Scholar 

  10. KtitarevD. V.,Lett. Math. Phys. 18, 325 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ktitarev, D.V. Functional integral in supersymmetric quantum mechanics. Lett Math Phys 20, 309–312 (1990). https://doi.org/10.1007/BF00626527

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00626527

AMS subject classifications (1980)

Navigation