Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915071761842176 |
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| author | Garcia, Vicent Gimeno i Markvorsen, Steen |
| author_facet | Garcia, Vicent Gimeno i Markvorsen, Steen |
| contents | Geometric and topological bounds are obtained for the first energy level gap of a particle constrained to move on a compact surface in 3-space. Moreover, geometric properties are found which allows for stationary and uniformly distributed wave functions to exist on the surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_06920 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface Garcia, Vicent Gimeno i Markvorsen, Steen Quantum Physics Mathematical Physics Geometric and topological bounds are obtained for the first energy level gap of a particle constrained to move on a compact surface in 3-space. Moreover, geometric properties are found which allows for stationary and uniformly distributed wave functions to exist on the surface. |
| title | Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2302.06920 |