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Open Quantum Systems Decoherence Quantum Simulation

Exactness of Semiclassical Quantization Rule for Broken Supersymmetry

arXiv

Authors: Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu

Year

2020

Paper ID

18763

Status

Preprint

Abstract Read

~2 min

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Abstract

Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these methods are intriguingly exact rather than approximate, as has been shown by direct calculations on particular systems. In this paper we prove that the long-conjectured exactness of the supersymmetry-based semiclassical quantization condition for broken supersymmetry is a consequence of the additive shape invariance for the corresponding potentials.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Semiclassical methods provide important tools for approximating solutions in quantum mechanics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.05053 [2] arXiv https://arxiv.org/abs/2012.05053 [3] Publisher https://arxiv.org/abs/2012.05053

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