Tunnel effect for Kramers-Fokker-Planck type operators
classification
🧮 math.SP
math-phmath.MP
keywords
kramers-fokker-planckoperatorstypeadditionalassociatedassumptionsasymptoticscomplete
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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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