Reconciling Semiclassical and Bohmian Mechanics: IV. Multisurface Dynamics

Abstract

In previous articles [J. Chem. Phys. 121 4501 (2004), J. Chem. Phys. 124 034115 (2006), J. Chem. Phys. 124 034116 (2006)] a bipolar counter-propagating wave decomposition, Psi = Psi+ + Psi-, was presented for stationary states Psi of the one-dimensional Schrodinger equation, such that the components Psi+- approach their semiclassical WKB analogs in the large action limit. The corresponding bipolar quantum trajectories are classical-like and well-behaved, even when Psi has many nodes, or is wildly oscillatory. In this paper, the method is generalized for multisurface scattering applications, and applied to several benchmark problems. A natural connection is established between intersurface transitions and (+/-) transitions.

11 pages, 6 figures

References in corpus (4)

• Reconciling Semiclassical and Bohmian Mechanics: I. Stationary states
• Reconciling Semiclassical and Bohmian Mechanics: V. Wavepacket Dynamics
• Reconciling Semiclassical and Bohmian Mechanics: II. Scattering states for discontinuous potentials
• Reconciling Semiclassical and Bohmian Mechanics: III. Scattering states for continuous potentials