Tunnel effect and symmetries for Kramers Fokker-Planck type operators

Details Tunnel effect and symmetries for Kramers Fokker-Planck type operators Tunnel effect and symmetries for Kramers Fokker-Planck type operators

2010-07-06

arxiv.org/abs/1007.0838v1

Mathematics

Spectral Theory

Scientific paper

We study operators of Kramers-Fokker-Planck type in the semiclassical limit, assuming that the exponent of the associated Maxwellian is a Morse function with a finite number $n_0$ of local minima. Under suitable additional assumptions, we show that the first $n_0$ eigenvalues are real and exponentially small, and establish the complete semiclassical asymptotics for these eigenvalues.

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