Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Journal article, 2007

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.

schrodinger operator

PAULI OPERATORS

spectral asymptotics

MAGNETIC-FIELDS

problem

SCHRODINGER-OPERATORS

exterior

SPECTRAL ASYMPTOTICS

magnetic field

Author

A. Pushnitski

Grigori Rozenblioum

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Other publications Research

Documenta Mathematica

1431-0635 (ISSN) 1431-0643 (eISSN)

Vol. 12 569-586

Subject Categories

Mathematics

More information

Created

10/6/2017

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