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arXiv · 0707.4297

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

Alexander Pushnitski·Grigori Rozenblum
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Abstract

We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We discuss the rate of accumulation of eigenvalues in a fixed cluster.

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Alexander Pushnitski, Grigori Rozenblum. 2007-07-29. Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. https://arxiv.org/abs/0707.4297

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