Complex quantum Hamilton-Jacobi equation with Bohmian trajectories for wave packet dynamics

被引：21

作者：

Chou, Chia-Chun ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Chem, Hsinchu 30013, Taiwan

来源：

CHEMICAL PHYSICS LETTERS | 2014年 / 591卷

关键词：

SCATTERING STATES; MECHANICS; POTENTIALS; MOTION;

D O I：

10.1016/j.cplett.2013.11.022

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The complex quantum Hamilton-Jacobi equation (CQHJE) for the action function is integrated by propagating correlated Bohmian trajectories in real space. We transform the CQHJE into the arbitrary Lagrangian-Eulerian (ALE) version with the grid velocity matching the flow velocity of the probability fluid. The ALE version describes the rate of change in the complex action transported along Bohmian trajectories. The spatial derivatives of the complex action required for the integration of the CQHJE are evaluated with a moving least squares algorithm. The method is applied to a squeezed state in the harmonic potential and to a two-dimensional barrier scattering problem. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：203 / 206

页数：4

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