1209.2539 (Frederic Herau et al.)

Supersymmetric structures for second order differential operators    [PDF]

Frederic Herau, Michael Hitrik, Johannes Sjoestrand

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.

View original: http://arxiv.org/abs/1209.2539