Lisbon WADE — Webinar in Analysis and Differential Equations  

16/11/2020, 14:30 — 15:30 — Room P1, Mathematics Building Online
Hynek Kovařík, Università degli studi di Brescia

Absence of positive eigenvalues of magnetic Schroedinger operators

We study sufficient conditions for the absence of positive eigenvalues of magnetic Schroedinger operators in $\mathbb{R}^n$. 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.

See also

lisbon-2020-kovarik.pdf