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
Contact:
Birgit Oosthuizen-Noczil
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.