1305.3641 (Jan Dereziński et al.)

Excitation spectrum of interacting bosons in the mean-field
infinite-volume limit    [PDF]

Jan Dereziński, Marcin Napiórkowski

We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature. We analyze its excitation spectrum in a certain kind of a mean field infinite volume limit. We prove that under appropriate conditions the excitation spectrum has the form predicted by the Bogoliubov approximation. Our result can be viewed as an extension of the result of R. Seiringer (arXiv:1008.5349 [math-ph]) to large volumes.

View original: http://arxiv.org/abs/1305.3641