Absence of positive eigenvalues of magnetic Schroedinger operators

Abstract: We study sufficient conditions for the absence of positive eigenvalues of magnetic Schroedinger operators in R^n. In our main result we prove the absence of eigenvalues above certain threshold energy which depends explicitly on the magnetic and electric field. A comparison with the examples of Miller-Simon shows that our result is sharp as far as the decay of the magnetic field is concerned. The talk is based on a joint work with Silvana Avramska-Lukarska and Dirk Hundertmark.

mathematical physicsanalysis of PDEsspectral theory

Audience: researchers in the topic

Quantum Circle