Séminaire Orléans

Eigenvalue asymptotics for confining magnetic Schrödinger operators with complex potentials

by Nicolas Raymond (Angers)

Salle de Séminaires (Orléans)

Salle de Séminaires



This talk is devoted to the spectral analysis of the  electromagnetic Schrödinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential effective operator that allows us to describe the spectrum in various situations and appropriate regions of the complex plane. Not only results of the selfadjoint case are proved (or recovered) in the proposed unifying framework, but new results are established when the electric potential is complex-valued.