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On the Rigorous Derivation of the 3D Cubic Nonlinear Schroedinger Equation with A Quadratic Trap

Mathematical Physics & Probability

Speaker: Xuwen Chen, Brown University
Location: 1147 MSB
Start time: Wed, Feb 6 2013, 4:10PM

In this talk, I will talk about how the 1-body nonlinear harmonic oscillator arises from the N-body linear Schroedinger equation as N->infinity. This could be viewed as the quantum version of the Kac's program. In physics, it corresponds to the justification of the Gross-Pitaevskii limit in Bose-Einstein condensation.