Tunneling of an energy eigenstate through a parabolic barrier viewed from Wigner phase space |
| |
Authors: | DM Heim WP Schleich PM Alsing JP Dahl S Varro |
| |
Institution: | 2. Information Directorate, Air Force Research Laboratory, Rome, NY 13441, USA;3. Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Kgs. Lyngby, Denmark;4. Wigner Research Centre for Physics, Hungarian Academy of Sciences, Institute for Solid State Physics and Optics, 1525 Budapest, Hungary |
| |
Abstract: | We analyze the tunneling of a particle through a repulsive potential resulting from an inverted harmonic oscillator in the quantum mechanical phase space described by the Wigner function. In particular, we solve the partial differential equations in phase space determining the Wigner function of an energy eigenstate of the inverted oscillator. The reflection or transmission coefficients R or T are then given by the total weight of all classical phase-space trajectories corresponding to energies below, or above the top of the barrier given by the Wigner function. |
| |
Keywords: | Tunneling Inverted oscillator Wigner function |
本文献已被 ScienceDirect 等数据库收录! |
|