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arXiv · 1311.6340

Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field

Bernard Helffer·Yuri A. Kordyukov
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Abstract

We consider a magnetic Schrödinger 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.

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BibTeXRIS

Bernard Helffer, Yuri A. Kordyukov. 2013-11-25. Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field. https://arxiv.org/abs/1311.6340

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