Quantum Well in Fractional Quantum Mechanics
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908509688299520 |
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| author | Laskin, Nick |
| author_facet | Laskin, Nick |
| contents | Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-dimensional finite potential well. A simple graphical algorithm is described for obtaining the number of discrete levels in a quantum well and their associated energy values. The presented results open up new possibilities for emulating fractional quantum mechanics using quantum wells. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21528 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Well in Fractional Quantum Mechanics Laskin, Nick Quantum Physics Mathematical Physics Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-dimensional finite potential well. A simple graphical algorithm is described for obtaining the number of discrete levels in a quantum well and their associated energy values. The presented results open up new possibilities for emulating fractional quantum mechanics using quantum wells. |
| title | Quantum Well in Fractional Quantum Mechanics |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2508.21528 |