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arXiv · 2012.05053

Exactness of Semiclassical Quantization Rule for Broken Supersymmetry

Asim Gangopadhyaya·Jonathan Bougie·Constantin Rasinariu
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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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Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu. 2020-12-03. Exactness of Semiclassical Quantization Rule for Broken Supersymmetry. https://doi.org/10.1088/1751-8121%2Fac060a

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