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Supersymmetric structures for second order differential operators
Johannes SjöstrandMichael HitrikFrédéric Hérausubject
Algebra and Number Theory35P15 47A75 47B44 81Q20 81Q60 82C22 82C31Applied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Differential operatorTunnelling effectTheoretical physicsMathematics - Analysis of PDEsOrder (business)FOS: MathematicsMathematical PhysicsAnalysisMathematicsAnalysis of PDEs (math.AP)description
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, we show the non-existence of a smooth supersymmetric structure, for a suitable interaction potential, provided that the temperatures of the baths are different.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-09-12 |