On the over-barrier reflection in quantum mechanics with multiple degrees of freedom

Physics – Quantum Physics

Scientific paper

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Journal version. Introduction expanded, references added

Scientific paper

10.1103/PhysRevA.76.032114

We present an analytic example of two dimensional quantum mechanical system,
where the exponential suppression of the probability of over-barrier reflection
changes non-monotonically with energy. The suppression is minimal at certain
"optimal" energies where reflection occurs with exponentially larger
probability than at other energies.

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