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Eigenvalue estimates for Schroedinger operators on regular metric trees

Wednesday 4th April 2007 - 17:50 to 18:20
INI Seminar Room 1

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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons