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Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Deformed Shape Invariant Superpotentials in Quantum Mechanics and Expansions in Powers of hbar

arXiv
Authors: C. Quesne

Year

2020

Paper ID

20312

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

We show that the method developed by Gangopadhyaya, Mallow, and their coworkers to deal with (translationally) shape invariant potentials in supersymmetric quantum mechanics and consisting in replacing the shape invariance condition, which is a difference-differential equation, by an infinite set of partial differential equations can be generalized to deformed shape invariant potentials in deformed supersymmetric quantum mechanics. The extended method is illustrated by several examples, corresponding both to hbar-independent superpotentials and to a superpotential explicitly depending on hbar.

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  • We show that the method developed by Gangopadhyaya, Mallow, and their coworkers to deal with (translationally) shape invariant potentials in supersymmetric quantum mechanics...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.14541 [2] arXiv https://arxiv.org/abs/2009.14541 [3] Publisher https://arxiv.org/abs/2009.14541

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