Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909299506151424 |
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| author | Gangopadhyaya, Asim Bougie, Jonathan Rasinariu, Constantin |
| author_facet | Gangopadhyaya, Asim Bougie, Jonathan Rasinariu, Constantin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics Gangopadhyaya, Asim Bougie, Jonathan Rasinariu, Constantin Quantum Physics High Energy Physics - Theory 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. |
| title | Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.15424 |