Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains
Spectral Theory
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.math/0504044,
title = {Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains},
author = {N. Filonov and A. Pushnitski},
journal= {arXiv preprint arXiv:math/0504044},
year = {2009}
}
Comments
16 pages