The Excitation Spectrum for Weakly Interacting Bosons

The Excitation Spectrum for Weakly Interacting Bosons

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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Veröffentlicht in:Communications in mathematical physics 2011-09, Vol.306 (2), p.565-578
1. Verfasser: Seiringer, Robert
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Exact sciences and technology
Mathematical analysis
Mathematical and Computational Physics
Mathematical methods in physics
Mathematical Physics
Mathematics
Operator theory
Other topics in mathematical methods in physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Sciences and techniques of general use
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-011-1261-6