6533b861fe1ef96bd12c5714
RESEARCH PRODUCT
Return to Equilibrium, Non-self-adjointness and Symmetries, Recent Results with M. Hitrik and F. Hérau
Johannes Sjöstrandsubject
PhysicsHeat bathHomogeneous spaceStructure (category theory)Semiclassical physicsOrder (group theory)Partial differential operatorMorse theoryMathematical physicsdescription
In this talk we review some old and new results about the use of supersymmetric structures in semi-classical problems. Necessary and sufficient conditions are obtained for a real semiclassical partial differential operator of order two to possess a supersymmetric structure. For operators coming from a chain of oscillators, coupled to two heat baths, we show the non-existence of a smooth supersymmetric structure. The recent and new results all come from joint works with Michael Hitrik and Frederic Herau.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-09-02 |