We consider the spectrum of a two-dimensional Pauli operator with a compactly supported electric potential and a variable magnetic field with a positive mean value. The rate of accumulation of eigenvalues to zero is described in terms of the logarithmic capacity of the support of the electric potential. A connection between these eigenvalues and orthogonal polynomials in complex domains is established.

Original languageEnglish
Pages (from-to)759-772
Number of pages14
JournalCommunications in Mathematical Physics
Volume264
Issue number3
DOIs
StatePublished - 1 Jun 2006

    Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

ID: 50940366