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EIGENVALUE ASYMPTOTICS FOR LOCALLY PERTURBED SECOND-ORDER DIFFERENTIAL OPERATORS

Published online by Cambridge University Press:  01 February 1999

TIMO WEIDL
TIMO WEIDL
Affiliation:
Matematiska Institutionen, Kungliga Tekniska Hoegskolan, S-10044 Stockholm, Sweden. E-mail: weidl@math.kth.se School of Mathematical Sciences, University of Sussex, Brighton BN1 9QH. E-mail: T.Weidl@sussex.ac.uk
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Abstract

We consider the appearance of discrete spectrum in spectral gaps of magnetic Schrödinger operators with electric background field under strong, localised perturbations. We show that for compactly supported perturbations the asymptotics of the counting function of the occurring eigenvalues in the limit of a strong perturbation does not depend on the magnetic field nor on the background field.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 227 - 251
Copyright
The London Mathematical Society 1999

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