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AGA

Seminar

Eigenvalue estimates for Schroedinger operators on regular metric trees

Frank, R (Stockholm)
Wednesday 04 April 2007, 17:50-18:20

Seminar Room 1, Newton Institute

Abstract

We consider Lieb-Thirring and Cwikel-Lieb-Rozenblum inequalities for Schroedinger operators on regular metric trees. We give a necessary and sufficient condition for the validity of these inequalities in terms of the global growth of the tree. The behavior of these inequalities in the weak and strong coupling regime is discussed. The talk is based on joint work with T. Ekholm and H. Kovarik.

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