Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation

Journal Article · Tue Jul 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4881536· OSTI ID:22306197

Seiringer, Robert ^[1]

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1. IST Austria, Am Campus 1, 3400 Klosterneuburg (Austria)

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.

• OSTI ID: 22306197
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
EXCITATION
MANY-BODY PROBLEM
MEAN-FIELD THEORY