Analytic Eigenbranches in the Semi-classical Limit

We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results establish a vector valued analogue of a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet which applies to geo...

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Detalles Bibliográficos
Autor principal: Haller, Stefan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7328107/
https://www.ncbi.nlm.nih.gov/pubmed/32647523
http://dx.doi.org/10.1007/s11785-020-01011-4
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author Haller, Stefan
author_facet Haller, Stefan
author_sort Haller, Stefan
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description We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results establish a vector valued analogue of a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet which applies to geometric operators like Witten’s Laplacian on differential forms.
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spelling pubmed-73281072020-07-07 Analytic Eigenbranches in the Semi-classical Limit Haller, Stefan Complex Anal Oper Theory Article We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results establish a vector valued analogue of a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet which applies to geometric operators like Witten’s Laplacian on differential forms. Springer International Publishing 2020-06-17 2020 /pmc/articles/PMC7328107/ /pubmed/32647523 http://dx.doi.org/10.1007/s11785-020-01011-4 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Haller, Stefan
Analytic Eigenbranches in the Semi-classical Limit
title Analytic Eigenbranches in the Semi-classical Limit
title_full Analytic Eigenbranches in the Semi-classical Limit
title_fullStr Analytic Eigenbranches in the Semi-classical Limit
title_full_unstemmed Analytic Eigenbranches in the Semi-classical Limit
title_short Analytic Eigenbranches in the Semi-classical Limit
title_sort analytic eigenbranches in the semi-classical limit
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7328107/
https://www.ncbi.nlm.nih.gov/pubmed/32647523
http://dx.doi.org/10.1007/s11785-020-01011-4
work_keys_str_mv AT hallerstefan analyticeigenbranchesinthesemiclassicallimit

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