Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory
Quantum Physics
2009-11-10 v2 High Energy Physics - Theory
Abstract
We examine shape invariant potentials (excluding those that are obtained by scaling) in supersymmetric quantum mechanics from the stand-point of periodic orbit theory. An exact trace formula for the quantum spectra of such potentials is derived. Based on this result, and Barclay's functional relationship for such potentials, we present a new derivation of the result that the lowest order SWKB quantisation rule is exact.
Keywords
Cite
@article{arxiv.quant-ph/0410041,
title = {Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory},
author = {Rajat K. Bhaduri and Jamal Sakhr and D. W. L. Sprung and Ranabir Dutt and Akira Suzuki},
journal= {arXiv preprint arXiv:quant-ph/0410041},
year = {2009}
}
Comments
4 pages, 1 figure, corrected typos, minor revisions, added references