Lieb-Thirring inequalities for geometrically induced bound states
Pavel Exner, Helmut Linde, Timo Weidl
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.
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