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Algebra i Analiz, 2013, Volume 25, Issue 2, Pages 125–154 (Mi aa1326)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Supersymmetric structures for second order differential operators

F. Héraua, M. Hitrikb, J. Sjöstrandc

a Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2, rue de la Houssinière, BP 92208, 44322 Nantes Cedex 3, France, and UMR 6629 CNRS
b Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA
c IMB, Université de Bourgogne, 9, Av. A. Savary, BP 47870, FR-21078 Dijon C\'edex, and UMR 5584 CNRS
Full-text PDF (353 kB) Citations (4)
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Abstract: 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.
Keywords: eigenvalue splitting, tunnelling effect, Witten–Hodge Laplacian, Kramers–Fokker–Planck operator, Schrödinger operator.
Received: 25.10.2012
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 2, Pages 241–263
DOI: https://doi.org/10.1090/S1061-0022-2014-01288-5
Bibliographic databases:
Document Type: Article
Language: English
Citation: F. Hérau, M. Hitrik, J. Sjöstrand, “Supersymmetric structures for second order differential operators”, Algebra i Analiz, 25:2 (2013), 125–154; St. Petersburg Math. J., 25:2 (2014), 241–263
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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