Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Spectral asymptotics of pauli operators and orthogonal polynomials in complex domains. / Filonov, N.; Pushnitski, A.
в: Communications in Mathematical Physics, Том 264, № 3, 01.06.2006, стр. 759-772.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
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