%0 Journal Article %1 MR2107707 %A Exner, Pavel %A Linde, Helmut %A Weidl, Timo %D 2004 %J Lett. Math. Phys. %K IADM Weidl bound from:elkepeter geometrically induced states %N 1 %P 83--95 %R 10.1007/s11005-004-1741-0 %T Lieb-Thirring inequalities for geometrically induced bound states %U https://doi.org/10.1007/s11005-004-1741-0 %V 70 %X We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schrödinger operators in wave guides with local perturbations. The estimates are optimal in the weak-coupling case. To illustrate their applications, we consider, in particular, a straight strip and a straight circular tube with either mixed boundary conditions or boundary deformations.

@article{MR2107707, abstract = {We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schrödinger operators in wave guides with local perturbations. The estimates are optimal in the weak-coupling case. To illustrate their applications, we consider, in particular, a straight strip and a straight circular tube with either mixed boundary conditions or boundary deformations. }, added-at = {2022-03-30T16:32:23.000+0200}, author = {Exner, Pavel and Linde, Helmut and Weidl, Timo}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/21644660b6e0b2bd03210c20cf3c1e752/mathematik}, doi = {10.1007/s11005-004-1741-0}, interhash = {ae68a2a393315d8acefd999fc3bbfb41}, intrahash = {1644660b6e0b2bd03210c20cf3c1e752}, issn = {0377-9017}, journal = {Lett. Math. Phys.}, keywords = {IADM Weidl bound from:elkepeter geometrically induced states}, mrclass = {81Q10 (35J10 35P15)}, mrnumber = {2107707}, mrreviewer = {G\"{u}nter Berger}, number = 1, pages = {83--95}, timestamp = {2023-04-21T12:47:13.000+0200}, title = {Lieb-{T}hirring inequalities for geometrically induced bound states}, url = {https://doi.org/10.1007/s11005-004-1741-0}, volume = 70, year = 2004 }