2012/09/12 by Frederic Herau, Herau, Frederic, Michael Hitrik +3
Mathematics · Physics and Astronomy · #35P15 #47A75 #47B44 #81Q20 #81Q60 #82C22 #82C31 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35P15 #msc:47A75 #msc:47B44 #msc:81Q20 #msc:81Q60 #msc:82C22 #msc:82C31
paper · pdf · doi:10.48550/arxiv.1209.2539
arxiv created 2012/09/12 · arxiv updated 2012/09/13
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.