Cwikel-Lieb-Rozenblum type estimates for magnetic Hamiltonians in dimension two

In this talk I will present Cwikel-Lieb-Rozenblum type inequalities for the number of negative eigenvalues of Pauli and Schroedinger operators in dimension two. The resulting upper bounds are sharp both in the weak as well as the strong coupling limit. In both cases, the nature of the inequality depends on whether the flux of the magnetic field is integer or not.

The talk is based on a joint work with Matthias Baur.