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The interacting Bose gas: A challenge for analysts

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If you have a question about this talk, please contact Jonathan Ben-Artzi.

I will review the mathematical setting for a many-body system of identical quantum “symmetric” particles . Such systems may undergo a Bose-Einstein condensation. The main questions deal with reconciling the microscopic description (Schrodinger operator) with the macroscopic one (Gross-Pitaevskii equation); to study the implications of the latter; and to understand the effects of interactions on the phase transition. I will survey the existing literature and describe some results obtained with R. Seiringer and V. Betz about the critical temperature of interacting systems.

This talk is part of the Partial Differential Equations seminar series.

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