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  • 标题:Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
  • 本地全文:下载
  • 作者:Mikael Persson
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/873704
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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 these clusters. When the compact is a Reinhardt domain we are able to show a more precise asymptotic formula.
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