Overbarrier reflection in quantum mechanics with multiple degrees of freedom

2007/04/30 by D. G. Levkov, A. G. Panin, Sergey Sibiryakov +1 · 2 citations
Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #hep-th #nlin.CD #physics.atom-ph #physics.chem-ph #quant-ph

paper · pdf · doi:10.1103/physreva.76.032114

published as Phys. Rev. A 76, 032114 (2007) · Journal version. Introduction expanded, references added

openalex publication_date 2007/09/21 · arxiv created 2007/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an analytic example of a two-dimensional quantum-mechanical system, where the exponential suppression of the probability of overbarrier reflection changes nonmonotonically with energy. The suppression is minimal at certain ``optimal'' energies where reflection occurs with exponentially larger probability than at other energies.

Citations

• Transmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top
• Semiclassical approximations in wave mechanics

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