Affiliation:
1. Department of Chemistry and Biochemistry, and Department of Physics, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
Abstract
In a recent series of papers,1-3 a bipolar counter-propagating wave decomposition, Ψ = Ψ+ + Ψ-, was presented for stationary bound states Ψ of the one-dimensional Schrödinger equation, such that the components Ψ± approach their semiclassical WKB analogs in the large action limit. The corresponding bipolar quantum trajectories are classical-like and well-behaved, even when Ψ has many nodes, or is wildly oscillatory. In this paper, the earlier results are used to construct an universal "black-box" algorithm, numerically robust, stable and efficient, for computing accurate scattering quantities of any quantum dynamical system in one degree of freedom.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Theory and Mathematics,Physical and Theoretical Chemistry,Computer Science Applications
Cited by
10 articles.
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