XXXII Workshop on Geometric Methods in Physics 30.06-6.07.2013

Yuri Kordyukov

Semiclassical spectral asymptotics for magnetic Schroedinger operators

We describe recent results on semiclassical asymptotics for the spectrum of a magnetic Schroedinger operator on a Riemannian manifold in the case when the magnetic field does not vanish at each point. We give geometric interpretations of our results and discuss some related problems in differential geometry and integrable systems. This is joint work with B. Helffer.

Event sponsored by:
Belgian Science Policy Office     PAI          University
of Bialystok
University of Bialystok

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