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Young Seminar
Organizers: Douglas Lundholm (IHP) & Julien Sabin (Cergy)


Marcin Napiórkowski (Warsaw University): "Excitation spectrum of interacting bosons in the mean-field infinite-volume limit"
Wednesday 12 June 2013, 15:30 - 16:30
Amphi Darboux


Abstract: We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature. We analyze its excitation spectrum in a certain kind of a mean-field infinite-volume limit. We prove that under appropriate conditions the excitation spectrum has the form predicted by the Bogoliubov approximation. Our result can be viewed as an extension of the result of R. Seiringer (CMP 306, 565 (2011)) to large volumes.