SUPERSYMMETRIC STRUCTURES FOR SECOND ORDER DIFFERENTIAL OPERATORS

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TitreSUPERSYMMETRIC STRUCTURES FOR SECOND ORDER DIFFERENTIAL OPERATORS
Type de publicationJournal Article
Year of Publication2014
AuteursHerau F., Hitrik M., Sjoestrand J.
JournalST PETERSBURG MATHEMATICAL JOURNAL
Volume25
PaginationPII S1061-0022(2014)01288-5
Date PublishedAPR
Type of ArticleArticle
ISSN1061-0022
Mots-clésEigenvalue splitting, Kramers-Fokker-Planck operator, Schrodinger operator, tunnelling effect, Witten-Hodge Laplacian
Résumé

Necessary and sufficient conditions are obtained for a real semiclassical partial differential operator of order two to possess a supersymmetric structure. For the operator coming from a chain of oscillators coupled to two heat baths, it is shown that no smooth supersymmetric structure can exist for a suitable interaction potential, provided that the temperatures of the baths are different.
DOI10.1090/S1061-0022-2014-01288-5