English

Reconciling Semiclassical and Bohmian Mechanics: IV. Multisurface Dynamics

Quantum Physics 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0803.0142,
  title  = {Reconciling Semiclassical and Bohmian Mechanics: IV. Multisurface Dynamics},
  author = {Bill Poirier and Gerard Parlant},
  journal= {arXiv preprint arXiv:0803.0142},
  year   = {2009}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-21T10:17:35.850Z