paper

Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials

arXiv:0710.1877 · doi:10.1007/s11005-007-0211-x

Abstract

We give a CLR type bound on the number of bound states of Schroedinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.

Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics

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