On an example of phase-space tunneling. (English) Zbl 0833.34088

Nakamura, Shu

Ann. Inst. Henri Poincaré, Phys. Théor. 63, No. 2, 211-229 (1995).

Summary: A typical example of phase space tunneling, which is related to the Born- Oppenheimer approximation and has been studied by Martinez, is considered. An upper bound on the width of the resonance, which seems to be optimal, is proved. The main idea is to construct a suitable canonical transformation, and then to use the standard Agmon-type exponential estimate. In order to define resonances, we use a local distortion method.

MSC:

34L40	Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
81Q05	Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Keywords:

phase space tunneling; Born-Oppenheimer approximation; resonance

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