Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains

N. Filonov; A. Pushnitski

doi:10.1007/s00220-006-1520-0

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Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains

N. Filonov·A. Pushnitski

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Abstract

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.

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BibTeX RIS

N. Filonov, A. Pushnitski. 2005-04-03. Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains. https://doi.org/10.1007/s00220-006-1520-0

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