English

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

Quantum Physics 2007-09-25 v2 High Energy Physics - Theory Chaotic Dynamics Atomic Physics Chemical Physics

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.

Keywords

Cite

@article{arxiv.0704.0409,
  title  = {On the over-barrier reflection in quantum mechanics with multiple degrees of freedom},
  author = {D. G. Levkov and A. G. Panin and S. M. Sibiryakov},
  journal= {arXiv preprint arXiv:0704.0409},
  year   = {2007}
}

Comments

Journal version. Introduction expanded, references added