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

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

2007-07-29

arxiv.org/abs/0707.4297v1

Mathematics

Spectral Theory

16 pages, Latex

Scientific paper

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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