Asbjørn Bækgaard Lauritsen: Asymptotic behaviour of the Bardeen--Cooper--Schrieffer theory of superconducitivity

Abstract:
I will introduce the Bardeen--Cooper--Schrieffer (BCS) theory of
superconducitvity and explain its variational and spectral theoretic
formulation. For this theory, one is in particular interested in the
critical temperature, being physically the temperature below which the
material is superconducting, and the energy gap. I will discuss the
analysis of these quantities in various limits of the theory and explain
the spectral theoretic methods (the Birman--Schwinger principle) used in
the proofs.
Joint work with Joscha Henheik, Edwin Langmann, and Barbara Roos.