Tunnel effect for Kramers-Fokker-Planck type operators
谱理论
2009-11-13 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0703684,
title = {Tunnel effect for Kramers-Fokker-Planck type operators},
author = {Frederic Herau and Michael Hitrik and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:math/0703684},
year = {2009}
}
备注
77 pages