Tunnel effect for Kramers-Fokker-Planck type operators
arXiv:math/0703684 · doi:10.1007/s00023-008-0355-y
Abstract
We consider operators of Kramers-Fokker-Planck type in the semi-classical limit such that the exponent of the associated Maxwellian is a Morse function with two local minima and a saddle point. Under suitable additional assumptions we establish the complete asymptotics of the exponentially small splitting between the first two eigenvalues.
77 pages