Eigenvalue asymptotics for locally perturbed second-order differential operators

Authors
Weidl, T
Citation
T. Weidl, Eigenvalue asymptotics for locally perturbed second-order differential operators, J LOND MATH, 59, 1999, pp. 227-251
Citations number
46
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
59
Year of publication
1999
Part
1
Pages
227 - 251
Database
ISI
SICI code
0024-6107(199902)59:<227:EAFLPS>2.0.ZU;2-U
Abstract
We consider the appearance of discrete spectrum in spectral gaps of magneti c Schrodinger operators with electric background field under strong, locali sed perturbations. We show that for compactly supported perturbations the a symptotics of the counting function of the occurring eigenvalues in the lim it of a strong perturbation does not depend on the magnetic field nor on th e background held.