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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.
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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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