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

Abstract

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.

Journal version. Introduction expanded, references added

References in corpus (2)

• Complex trajectories in chaotic dynamical tunneling
• Transmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top