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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
NeumannCondensation-v27.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
499.51 kB
Formato
Adobe PDF
|
499.51 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
Caricamento pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
