Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials
Mathematical Physics
2009-11-13 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0710.1877,
title = {Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials},
author = {Rupert L. Frank and Elliott H. Lieb and Robert Seiringer},
journal= {arXiv preprint arXiv:0710.1877},
year = {2009}
}
Comments
Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics