Supersymmetric structures for second order differential operators
Mathematical Physics
2012-09-13 v1 Analysis of PDEs
math.MP
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, we show the non-existence of a smooth supersymmetric structure, for a suitable interaction potential, provided that the temperatures of the baths are different.
Cite
@article{arxiv.1209.2539,
title = {Supersymmetric structures for second order differential operators},
author = {Frederic Herau and Michael Hitrik and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:1209.2539},
year = {2012}
}