Around supersymmetry for semiclassical second order differential operators | Zendy

Laurent Michel | Zendy

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Around supersymmetry for semiclassical second order differential operators

Author(s) -

Laurent Michel

Publication year - 2015

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/13053

Subject(s) - semiclassical physics , supersymmetry , order (exchange) , differential (mechanical device) , differential operator , physics , mathematical physics , mathematics , pure mathematics , quantum mechanics , quantum , economics , finance , thermodynamics

International audienceLet $P(h),h\in]0,1]$ be a semiclassical scalar differential operator of order $2$. The existence of a supersymmetric structure given by a matrix $G(x;h)$ was exhibited in \cite{HeHiSj13} under rather general assumptions. In this note we give a sufficient condition on its coefficient so that the matrix $G(x;h)$ enjoys some nice estimates with respect to the semiclassical parameter

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