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.

Journal of Mathematical PhysicsJun 26, 201414 citations

Bogoliubov Excitations of Inhomogeneous Bose-Einstein Condensates

Christopher Gaul

Jan 1, 20103 citations

EMS Press eBooks

Bogoliubov excitation spectrum of Bose gases

Phan Thành Nam

Published Jul 14, 2023• 0 citations

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DOI: 10.4171/8ecm/04

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