Exactness of Semiclassical Quantization Rule for Broken Supersymmetry

• URL: http://arxiv.org/abs/2012.05053v2
• Date: Tue, 19 Jan 2021 20:52:59 GMT
• Title: Exactness of Semiclassical Quantization Rule for Broken Supersymmetry
• Authors: Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
• Abstract summary: We show 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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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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