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Eigenvalue estimates for the Aharonov-Bohm operator in a domain

Frank, Rupert L. and Hansson, Anders (2007) Eigenvalue estimates for the Aharonov-Bohm operator in a domain. . http://resolver.caltech.edu/CaltechAUTHORS:20170510-090747676

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Abstract

We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
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https://arxiv.org/abs/0710.1089arXivDiscussion paper
Additional Information:Received by the editors February 5, 2007. (Submitted on 4 Oct 2007) The authors would like to thank A. Laptev for the setting of the problem and helpful remarks. The first author is grateful to E. H. Lieb and R. Seiringer for their hospitality at Princeton University and thanks them, H. Kalf and M. Loss for fruitful discussions.
Record Number:CaltechAUTHORS:20170510-090747676
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170510-090747676
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77332
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 May 2017 20:47
Last Modified:16 May 2017 20:47

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