Pavel Exner, Helmut Linde and Timo Weidl
Lieb-Thirring inequalities for geometrically induced 
bound states
(42K, LaTeX)

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.