Eigenvalue estimates for the Aharonov-Bohm operator in a domain

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. R...

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Main Authors: Frank, Rupert L., Hansson, Anders
Format: Report
Language:unknown
Published: 2017
Subjects:
laptev
Online Access:https://doi.org/10.48550/arXiv.0710.1089
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spelling ftcaltechauth:oai:authors.library.caltech.edu:y49sy-e7r68 2024-09-15T18:17:33+00:00 Eigenvalue estimates for the Aharonov-Bohm operator in a domain Frank, Rupert L. Hansson, Anders 2017-05-16 https://doi.org/10.48550/arXiv.0710.1089 unknown https://arxiv.org/abs/0710.1089 https://doi.org/10.48550/arXiv.0710.1089 oai:authors.library.caltech.edu:y49sy-e7r68 eprintid:77332 resolverid:CaltechAUTHORS:20170510-090747676 info:eu-repo/semantics/openAccess Other info:eu-repo/semantics/report 2017 ftcaltechauth https://doi.org/10.48550/arXiv.0710.1089 2024-08-06T15:34:57Z 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. 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. Submitted - 0710.1089.pdf Report laptev Caltech Authors (California Institute of Technology)
institution Open Polar
collection Caltech Authors (California Institute of Technology)
op_collection_id ftcaltechauth
language unknown
description 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. 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. Submitted - 0710.1089.pdf
format Report
author Frank, Rupert L.
Hansson, Anders
spellingShingle Frank, Rupert L.
Hansson, Anders
Eigenvalue estimates for the Aharonov-Bohm operator in a domain
author_facet Frank, Rupert L.
Hansson, Anders
author_sort Frank, Rupert L.
title Eigenvalue estimates for the Aharonov-Bohm operator in a domain
title_short Eigenvalue estimates for the Aharonov-Bohm operator in a domain
title_full Eigenvalue estimates for the Aharonov-Bohm operator in a domain
title_fullStr Eigenvalue estimates for the Aharonov-Bohm operator in a domain
title_full_unstemmed Eigenvalue estimates for the Aharonov-Bohm operator in a domain
title_sort eigenvalue estimates for the aharonov-bohm operator in a domain
publishDate 2017
url https://doi.org/10.48550/arXiv.0710.1089
genre laptev
genre_facet laptev
op_relation https://arxiv.org/abs/0710.1089
https://doi.org/10.48550/arXiv.0710.1089
oai:authors.library.caltech.edu:y49sy-e7r68
eprintid:77332
resolverid:CaltechAUTHORS:20170510-090747676
op_rights info:eu-repo/semantics/openAccess
Other
op_doi https://doi.org/10.48550/arXiv.0710.1089
_version_ 1810455608817614848

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