The Excitation Spectrum for Weakly Interacting Bosons

2010/08/31 by Robert Seiringer · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.quant-gas #math.MP

paper · pdf · doi:10.1007/s00220-011-1261-6

published as Commun. Math. Phys. 306, 565 (2011) · LaTeX, 13 pages; Typos corrected, Remarks and References added

arxiv created 2010/09/17 · arxiv updated 2015/05/19

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.

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