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

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

2007-10-09

arxiv.org/abs/0710.1877v1

Lett. Math. Phys. 82, 107 (2007)

Physics

Mathematical Physics

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

Scientific paper

10.1007/s11005-007-0211-x

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.

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