Christof Sparber : On nonlinear Schrodinger equations modeling collective quantum dynamics

Posted by David E. Marker , part of the Departmental Colloquium.

At

Jan. 15, 2010, 3 p.m.

In

SEO 636

Abstract

We shall explain how nonlinear dispersive equations of Schrodinger type can be used to effectively describe the collective dynamics of (large) quantum systems. After a short review of the basic analytical properties of the nonlinear equations obtained, we shall discuss recent mathematical results for some extended models, arising in the description of Bose-Einstein condensates. Time permitting, we shall also discuss some asymptotic results in multi-scale regimes.