Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian

We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2𝑑, 𝑑≥1. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We give asymptotic formulas for the rate of accumulation of eigenvalues in t...

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Bibliographic Details
Main Author: Mikael Persson
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2009/873704
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