Organizers
Peter Miller
Lydia Bieri




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The 71st Midwest Partial Differential Equations Seminar

May 11-12, 2013

Room TBA East Hall
University of Michigan
Ann Arbor, MI

 

Abstract Detail

 
Title: Bose-Einstein condensation, the nonlinear Schrodinger equation, and a central limit theorem

Near absolute zero, a gas of quantum particles can condense into an unusual state of matter, called Bose-Einstein condensation (BEC), that behaves like a giant quantum particle. The rigorous connection has recently been made between the physics of the microscopic many-body dynamics and the mathematics of the macroscopic model, the cubic nonlinear Schrodinger equation (NLS). I will discuss recent progress with Gerard Ben Arous and Benjamin Schlein on a central limit theorem for the quantum many-body dynamics, a step towards large deviations for Bose-Einstein condensation.


Kay Kirkpatrick
University of Illinois at Urbana-Champaign
Email:  kkirkpat@illinois.edu
Phone: 217-552-0956

 


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Sponsors
National Science Foundation,
Department of Mathematics at the University of Michigan

   

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