04-156 Pavel Exner, Helmut Linde and Timo Weidl

Lieb-Thirring inequalities for geometrically induced bound states (42K, LaTeX) May 17, 04

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Abstract. We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schr\"odinger 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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