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Semiclassical spectral asymptotics for a magnetic Schr\"odinger operator with non-vanishing magnetic field by Helffer, Bernard; Kordyukov, Yuri A. is a scholarly article available to read on EtoBox.

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We consider a magnetic Schr\"odinger operator $H^h$, depending on a semiclassical parameter $h>0$, on a compact Riemannian manifold. We assume that there is no electric field. We suppose that the minimal value $b_0$ of the intensity of the magnetic field $b$ is strictly positive. We give a survey of the results on asymptotic behavior of the eigenvalues of the operator $H^h$ in the semiclassical limit.

Author

Helffer, Bernard; Kordyukov, Yuri A.

Published

2013

Language

EN