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.

The Bose gas in a box with Neumann boundary conditions / C. Boccato. - (2022).

The Bose gas in a box with Neumann boundary conditions

C. Boccato
2022

Abstract

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.
Settore MAT/07 - Fisica Matematica
https://arxiv.org/abs/2205.15284
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/931712
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