The Excitation Spectrum for Weakly Interacting Bosons

Details The Excitation Spectrum for Weakly Interacting Bosons The Excitation Spectrum for Weakly Interacting Bosons

2010-08-31

arxiv.org/abs/1008.5349v2

Commun. Math. Phys. 306, 565 (2011)

Physics

Mathematical Physics

LaTeX, 13 pages; Typos corrected, Remarks and References added

Scientific paper

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.

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