%0 Journal Article %1 MR1688500 %A Weidl, Timo %D 1999 %J J. London Math. Soc. (2) %K Eigenvalue IADM Weidl asymptotics from:elkepeter %N 1 %P 227--251 %R 10.1112/S0024610799007024 %T Eigenvalue asymptotics for locally perturbed second-order differential operators %U https://doi.org/10.1112/S0024610799007024 %V 59 %X 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.

@article{MR1688500, 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.}, added-at = {2022-03-30T16:25:09.000+0200}, author = {Weidl, Timo}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2d12a32fc0186ec81b846a3d8aeebdad6/mathematik}, doi = {10.1112/S0024610799007024}, interhash = {d46758b862531ca22f55be9301846ee3}, intrahash = {d12a32fc0186ec81b846a3d8aeebdad6}, issn = {0024-6107}, journal = {J. London Math. Soc. (2)}, keywords = {Eigenvalue IADM Weidl asymptotics from:elkepeter}, mrclass = {35P20 (35J10 47F05 47N50 81Q10)}, mrnumber = {1688500}, mrreviewer = {G\"{u}nter Berger}, number = 1, pages = {227--251}, timestamp = {2023-04-21T13:25:45.000+0200}, title = {Eigenvalue asymptotics for locally perturbed second-order differential operators}, url = {https://doi.org/10.1112/S0024610799007024}, volume = 59, year = 1999 }