Tunnel effect and symmetries for Kramers Fokker-Planck type operators

Frederic Herau; Michael Hitrik; Johannes Sjoestrand

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arXiv · 1007.0838

Tunnel effect and symmetries for Kramers Fokker-Planck type operators

Frederic Herau·Michael Hitrik·Johannes Sjoestrand

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Abstract

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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BibTeX RIS

Frederic Herau, Michael Hitrik, Johannes Sjoestrand. 2010-07-06. Tunnel effect and symmetries for Kramers Fokker-Planck type operators. https://arxiv.org/abs/1007.0838

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