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Analysis Seminar: Hynek Kovarik (Brescia) "Absence of positive eigenvalues of magnetic Schroedinger operators" | Einstein Institute of Mathematics

Analysis Seminar: Hynek Kovarik (Brescia) "Absence of positive eigenvalues of magnetic Schroedinger operators"

Date: 
Wed, 18/11/202012:00-13:00

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.