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Tunnel effect for Kramers-Fokker-Planck type operators

Frederic Herau·Michael Hitrik·Johannes Sjoestrand
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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.

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Frederic Herau, Michael Hitrik, Johannes Sjoestrand. 2007-07-06. Tunnel effect for Kramers-Fokker-Planck type operators. https://doi.org/10.1007/s00023-008-0355-y

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