Quantum mechanical streamlines. I. Square potential barrier

摘要: Exact numerical calculations are made for the scattering of quantum mechanical particles from a square two‐dimensional potential barrier. This treatment is an exact analog both frustrated total reflection perpendicularly polarized light and longitudinal Goos‐Hanchen shift. Quantum streamlines (which analogous to either classical trajectories or optical rays) plotted. These smooth, continuous, have continuous first derivatives even through classically forbidden region. The form quantized vortices surrounding each nodal points result interference between incident reflected waves). Similar occur in reactive collisions H + H2 (McCullough Wyatt; Kuppermann, Adams, Truhlar) undoubtedly play important role molecular collision dynamics. theory these given companion paper. A comparison our stationary phase appro...