The Excitation Spectrum for Weakly Interacting Bosons
Mathematical Physics
2015-05-19 v2 Quantum Gases
math.MP
Abstract
We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum becomes exact in the mean-field limit.
Cite
@article{arxiv.1008.5349,
title = {The Excitation Spectrum for Weakly Interacting Bosons},
author = {Robert Seiringer},
journal= {arXiv preprint arXiv:1008.5349},
year = {2015}
}
Comments
LaTeX, 13 pages; Typos corrected, Remarks and References added