Open AccessBose gases, Bose–Einstein condensation, and the Bogoliubov approximation
Author(s) -
Robert Seiringer
Publication year - 2014
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.4881536
Subject(s) - bose–einstein condensate , bose gas , limit (mathematics) , physics , spectrum (functional analysis) , condensation , many body problem , quantum mechanics , focus (optics) , hartree , excitation , quantum , mathematics , mathematical analysis , optics , thermodynamics
We review recent progress towards a rigorous understanding of the Bogoliubov approximation for bosonic quantum many-body systems. We focus, in particular, on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A list of open problems will be discussed at the end.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom