| 时间相关外场中量子系统的辛算法 |
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| 引用本文： | 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 |
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| 作者姓名： | 刘晓艳 刘学深 丁培柱 |
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| 作者单位： | 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 |
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| 基金项目： | 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. |
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| 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.
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| 关 键 词： | 显式辛格式 PRK法 |
| 文章编号： | 1001-246X(2003)02-0127-03 |
| 收稿时间： | 2001-02-19 |
| 修稿时间： | 2001-02-19 |
Symplectic Integrators in Quantum Systems with Time-dependent External Fields |
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| 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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| Authors: | LIU Xiao-Yan LIU Xue-shen DING Pei-zhu |
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| Affiliation: | 1. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130023, China;2. Department of Mathematics, Northeast Normal University, Changchun 130024, China |
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| 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. |
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| Keywords: | symplectic integrator PRK method |
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