Lieb-Thirring inequalities for geometrically induced bound states

Details Lieb-Thirring inequalities for geometrically induced bound states Lieb-Thirring inequalities for geometrically induced bound states

2004-05-17

arxiv.org/abs/math-ph/0405046v1

Lett. Math. Phys. 70 (2004), 83-95

Physics

Mathematical Physics

LaTeX2e, 14 pages

Scientific paper

10.1007/s11005-004-1741-0

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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