Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory

Details Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory

2004-10-05

arxiv.org/abs/quant-ph/0410041v2

J.Phys. A38 (2005) L183

Physics

Quantum Physics

4 pages, 1 figure, corrected typos, minor revisions, added references

Scientific paper

10.1088/0305-4470/38/11/L01

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.

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