Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics

Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics

Semiclassical methods are essential in analyzing quantum mechanical systems. Although they generally produce approximate results, relatively rare potentials exist for which these methods are exact. Such intriguing potentials serve as crucial test cases for semiclassical approximations. Recent resear...

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Veröffentlicht in:arXiv.org 2024-08
Hauptverfasser: Gangopadhyaya, Asim, Bougie, Jonathan, Rasinariu, Constantin
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Mechanical systems
Quantum mechanics
Supersymmetry
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Rasinariu, Constantin
description Semiclassical methods are essential in analyzing quantum mechanical systems. Although they generally produce approximate results, relatively rare potentials exist for which these methods are exact. Such intriguing potentials serve as crucial test cases for semiclassical approximations. Recent research has demonstrated a deep connection between supersymmetric quantum mechanics and the exactness of semiclassical methods. Specifically, the mathematical form of conventional shape-invariant potentials guarantees exactness in several related situations. In this manuscript, we review these recent results and discuss their significance.
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Quantum mechanics
Supersymmetry
title Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
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