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

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.
Authors:
 [1]
  1. IST Austria, Am Campus 1, 3400 Klosterneuburg (Austria)
Publication Date:
OSTI Identifier:
22306197
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; BOSE-EINSTEIN CONDENSATION; BOSE-EINSTEIN GAS; EXCITATION; MANY-BODY PROBLEM; MEAN-FIELD THEORY