10.1007/s00023-013-0302-4
Dereziński, Jan
Jan
Dereziński
Napiórkowski, Marcin M
Marcin M
Napiórkowski
Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit
Springer Nature
2014
2019-01-10T09:02:58Z
2019-02-28T09:22:47Z
journal_article
/record/5813
/record/5813.json
1424-0637
865230 bytes
application/pdf
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 Seiringer (Commun. Math. Phys.306:565–578, 2011) to large volumes.