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Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains. / Filonov, N.; Pushnitski, A.

In: Communications in Mathematical Physics, Vol. 264, No. 3, 01.06.2006, p. 759-772.

Research output: Contribution to journal › Article › peer-review

Harvard

Filonov, N & Pushnitski, A 2006, 'Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains', Communications in Mathematical Physics, vol. 264, no. 3, pp. 759-772. https://doi.org/10.1007/s00220-006-1520-0

APA

Filonov, N., & Pushnitski, A. (2006). Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains. Communications in Mathematical Physics, 264(3), 759-772. https://doi.org/10.1007/s00220-006-1520-0

Vancouver

Filonov N, Pushnitski A. Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains. Communications in Mathematical Physics. 2006 Jun 1;264(3):759-772. https://doi.org/10.1007/s00220-006-1520-0

Author

Filonov, N. ; Pushnitski, A. / Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains. In: Communications in Mathematical Physics. 2006 ; Vol. 264, No. 3. pp. 759-772.

BibTeX

@article{c967800ce9d74d71a9c347d390fb0147,
title = "Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains",
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.",
author = "N. Filonov and A. Pushnitski",
year = "2006",
month = jun,
day = "1",
doi = "10.1007/s00220-006-1520-0",
language = "English",
volume = "264",
pages = "759--772",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains

AU - Filonov, N.

AU - Pushnitski, A.

PY - 2006/6/1

Y1 - 2006/6/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33646515122&partnerID=8YFLogxK

U2 - 10.1007/s00220-006-1520-0

DO - 10.1007/s00220-006-1520-0

M3 - Article

AN - SCOPUS:33646515122

VL - 264

SP - 759

EP - 772

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

ID: 50940366