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Published December 2007 | Published + Submitted
Journal Article Open

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

Abstract

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

Additional Information

© 2007 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 09 October 2007; Revised: 15 November 2007; Accepted: 16 November 2007. Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics. This work was supported by DAAD grant D/06/49117 (R.F.), by U.S. National Science Foundation grants PHY 06 52854 (E.L.) and PHY 06 52356 (R.S.), and by an A.P. Sloan Fellowship (R.S.).

Attached Files

Published - Frank2007_Article_NumberOfBoundStatesOfSchröding.pdf

Submitted - 0710.1877.pdf

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Additional details

Created:
August 22, 2023
Modified:
October 25, 2023