1 Department of Chemistry, Technical University of Denmark2 Universität Ulm3 Air Force Research Laboratory4 Department of Chemistry, Technical University of Denmark5 Hungarian Academy of Sciences6 Air Force Research Laboratory7 Hungarian Academy of Sciences
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.
Physics Letters a, 2013, Vol 377, Issue 31-33, p. 1822-1825