Analytic Eigenbranches in the Semi-classical Limit.
Analytic eigenbranches
Semi-classical limit
Witten Laplacian
Journal
Complex analysis and operator theory
ISSN: 1661-8262
Titre abrégé: Complex Anal Oper Theory
Pays: Germany
ID NLM: 101769027
Informations de publication
Date de publication:
2020
2020
Historique:
received:
12
02
2020
accepted:
01
06
2020
entrez:
11
7
2020
pubmed:
11
7
2020
medline:
11
7
2020
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 32647523
doi: 10.1007/s11785-020-01011-4
pii: 1011
pmc: PMC7328107
doi:
Types de publication
Journal Article
Langues
eng
Pagination
52Subventions
Organisme : Austrian Science Fund FWF
ID : P 31663
Pays : Austria
Informations de copyright
© The Author(s) 2020.