The Bose gas in a box with Neumann boundary conditions
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...
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| creator | Boccato, Chiara Seiringer, Robert |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2205.15284 |
| format | Article |
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| subjects | Boundary conditions Depletion Ground state Lower bounds Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | The Bose gas in a box with Neumann boundary conditions |
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