Functional Analysis Seminar

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Wednesday 15:00 - 16:00 370Room #370 (Graduate School of Math. Sci. Bldg.)

2012/02/20

16:30-17:30   Room #128 (Graduate School of Math. Sci. Bldg.)
Jan Philip SOLOVEJ (University of Copenhagen)
Microscopic derivation of the Ginzburg-Landau model (ENGLISH)
[ Abstract ]
I will discuss how the \\emph{Ginzburg-Landau} (GL) model of superconductivity arises as an asymptotic limit of the microscopic Bardeen-Cooper-Schrieffer (BCS) model. The asymptotic limit may be seen as a semiclassical limit and one of the main difficulties is to derive a semiclassical expansion with minimal regularity assumptions. It is not rigorously understood how the BCS model approximates the underlying many-body quantum system. I will formulate the BCS model as a variational problem, but only heuristically discuss its relation to quantum mechanics.