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Moving boundary truncated grid method: Multidimensional quantum dynamics
Authors:Chun-Yaung Lu  Tsung-Yen Lee  Chia-Chun Chou
Institution:1. Texas Advanced Computing Center, The University of Texas at Austin, Austin, Texas;2. Department of Chemistry, National Tsing Hua University, Hsinchu, Taiwan
Abstract:The moving boundary truncated grid (TG) method is used to study wave packet dynamics of multidimensional quantum systems. As time evolves, appropriate Eulerian grid points required for propagating a wave packet are activated and deactivated with no advance information about the dynamics. This method is applied to the Henon-Heiles potential and wave packet barrier scattering in two, three, and four dimensions. Computational results demonstrate that the TG method not only leads to a great reduction in the number of grid points needed to perform accurate calculations but also is computationally more efficient than the full grid calculations.
Keywords:adaptive grid  Henon-Heiles potential  moving boundary truncated grid method  quantum barrier scattering  wave packet dynamics
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