Supersymmetry and the Tunneling Problem in an Asymmetric Double Well

Authors

Asim Gangopadhyaya, Loyola University ChicagoFollow
Prasanta K. Panigrahi, University of Hyderabad
Uday P. Sukhatne, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

4-1993

Publication Title

Physical Review A

Volume

47

Issue

2720

Abstract

The techniques of supersymmetric quantum mechanics are applied to the calculation of the energy difference between the ground state and the first excited state of an asymmetric double well. This splitting, originating from the tunneling effect, is computed via a systematic, rapidly converging perturbation expansion. Perturbative calculations to any order can be easily carried out using a logarithmic perturbation theory. Our approach yield substantially better results than alternative widely used semiclassical analyses.

Identifier

PMID: 9909242

Comments

Author Posting. © American Physical Society, 1993. This is the author's version of the work. It is posted here by permission of American Physical Society for personal use, not for redistribution. The definitive version was published in Phys. Rev. A 47, 2720, (31 March 1993). http://dx.doi.org/10.1103/PhysRevA.47.2720

Recommended Citation

Gangopadhyaya, A., Panigrahi, P.K., & Sukhatme, U.P. (1993). Supersymmetry and tunneling in an asymmetric double well. Physical Review A, 47(4), 2720-2724.

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Copyright Statement

© American Physical Society, 1993.