Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains

Details Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains

2005-04-03

arxiv.org/abs/math/0504044v1

Mathematics

Spectral Theory

16 pages

Scientific paper

10.1007/s00220-006-1520-0

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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