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Published December 2007 | Published + Submitted
Journal Article Open

Eigenvalue estimates for magnetic Schrödinger operators in domains

Abstract

Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators with non-negative electric potentials in domains. The bounds reflect the correct order of growth in the semi-classical limit.

Additional Information

© 2008 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received by the editors May 29, 2007. Published electronically: July 29, 2008. The authors would like to thank Mark Ashbaugh for several helpful remarks. Partial financial support through the SPECT ESF programme for the first and second authors and the Gustafsson Foundation for the third author is gratefully acknowledged. The first two authors appreciate the hospitality of the Isaac Newton Institute Cambridge, where this work was completed.

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Published - S0002-9939-08-09523-3.pdf

Submitted - 0705.3969.pdf

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Additional details

Created:
August 19, 2023
Modified:
October 25, 2023