The Bose gas in a box with Neumann boundary conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913283890479104 |
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| author | Boccato, Chiara Seiringer, Robert |
| author_facet | Boccato, Chiara Seiringer, Robert |
| contents | We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose gas in the thermodynamic limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_15284 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Bose gas in a box with Neumann boundary conditions Boccato, Chiara Seiringer, Robert Mathematical Physics 81Q10, 82B10 We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose gas in the thermodynamic limit. |
| title | The Bose gas in a box with Neumann boundary conditions |
| topic | Mathematical Physics 81Q10, 82B10 |
| url | https://arxiv.org/abs/2205.15284 |