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Validity of Bogoliubov’s approximation for translation-invariant Bose gases

MATHPHYS ANALYSIS SEMINAR

Date: Thursday, November 11, 2021 16:15 - 17:15
Speaker: Morris Brooks (IST Austria)
Location: Mondi 2 (I01.01.008), Central Building
Series: Mathematics and CS Seminar
Host: Robert Seiringer
Central building mondi1

In this talk we will discuss Bogoliubov’s approximation for translation-invariant Bose gases in the mean field regime. In the first part we will show that there exist low energy states satisfying complete Bose-Einstein condensation (BEC), which we believe to be of independent interest. In the second part, if time permits, we will verify Bogoliubov’s approximation for such states using Fock space methods.


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