The excitation spectrum for weakly interacting bosons in a trap
Mathematical Physics
2015-06-05 v1 Quantum Gases
math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1205.5259,
title = {The excitation spectrum for weakly interacting bosons in a trap},
author = {Philip Grech and Robert Seiringer},
journal= {arXiv preprint arXiv:1205.5259},
year = {2015}
}
Comments
LaTeX, 32 pages