时间相关外场中量子系统的辛算法

计算物理 ›› 2003, Vol. 20 ›› Issue (2): 127-129.

时间相关外场中量子系统的辛算法

刘晓艳^1,2, 刘学深¹, 丁培柱¹

1. 吉林大学原子与分子物理研究所, 吉林长春 130023;
2. 东北师范大学数学系, 吉林长春 130024

收稿日期:2001-02-19 修回日期:2001-08-27 出版日期:2003-03-25 发布日期:2003-03-25
作者简介:刘晓艳(1971-),女,辽宁建平,讲师,博士,从事微观哈密顿系统的保结构算法研究.
基金资助:
国家自然科学基金(10074019,10171039);国家重大基础研究专项经费(G1999032804)资助项目

Symplectic Integrators in Quantum Systems with Time-dependent External Fields

LIU Xiao-Yan^1,2, LIU Xue-shen¹, DING Pei-zhu¹

1. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130023, China;
2. Department of Mathematics, Northeast Normal University, Changchun 130024, China

Received:2001-02-19 Revised:2001-08-27 Online:2003-03-25 Published:2003-03-25

摘要/Abstract

摘要： 引入辅助变量将时间相关外场中量子系统的显含时间哈密顿系统转换成不显含时间的可分哈密顿系统,给出了任意阶精度的显式辛格式,计算了一维有限宽无限深势阱中的电子与模拟激光场的相互作用,结果与理论分析一致,且很好地保持了波函数模方归一,表明该方法适于计算激光场与原子的相互作用.

关键词: 显式辛格式, PRK法

Abstract: In a quantum system,when the Hamiltonian operator is time-dependent,"artificial" variables are introduced to construct the symplectic integrators with arbitrary high order accuracy.As an example,the time-evolution of an electron in the infinite deep potential well interacting with an animated laser field is investigated.The computed results coincide with the theory and can preserve the norm,which show that the methods are reasonable.

Key words: symplectic integrator, PRK method

中图分类号:

O562

刘晓艳, 刘学深, 丁培柱. 时间相关外场中量子系统的辛算法[J]. 计算物理, 2003, 20(2): 127-129.

LIU Xiao-Yan, LIU Xue-shen, DING Pei-zhu. Symplectic Integrators in Quantum Systems with Time-dependent External Fields[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(2): 127-129.

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