Functional Analysis Seminar - Graduate School of Mathematical Sciences: Seminar information

2012/02/20

16:30 - 17:30Room #128 (Mathematics building)
Jan Philip SOLOVEJ (University of Copenhagen)
"Microscopic derivation of the Ginzburg-Landau model " (ENGLISH)
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.