1205.5259 (Philip Grech et al.)

The excitation spectrum for weakly interacting bosons in a trap    [PDF]

Philip Grech, Robert Seiringer

We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be described in terms of the eigenvalues of an effective one-particle operator, as predicted by the Bogoliubov approximation.

View original: http://arxiv.org/abs/1205.5259