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

  • Alexander Pushnitski

  • Grigori Rozenblum

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

We consider the Schrödinger 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, Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. Doc. Math. 12 (2007), pp. 569–586

DOI 10.4171/DM/235