一个强场模型的哈密顿形式

计算物理 ›› 1996, Vol. 13 ›› Issue (4): 501-504.

一个强场模型的哈密顿形式

吴承埙¹, 丁培柱², 陈植¹

1. 吉林大学, 长春 130023;
2. 物理系, 长春 130023;
3. 原子分子所, 长春 130023

收稿日期:1995-03-27 出版日期:1996-12-25 发布日期:1996-12-25
基金资助:
国家科委攀登计划;国家自然科学基金和国家教委博士点基金支持

HAMILTONIAN FORMALISM OF AN INTENSE FIELD MODEL

Wu Chengxun¹, Ding Peizhu², Chen Zhi¹

1. Department of Physics, Jilin U niversity, Changchun 130023;
2. Institute of Atomic, Jilin U niversity, Changchun 130023;
3. Molecular Physics, Jilin U niversity, Changchun 130023

Received:1995-03-27 Online:1996-12-25 Published:1996-12-25

摘要/Abstract

摘要： 强场中的量子系统可能激发到高激发态,构造正则方程的本征函数展开法一般不再适用。就一个1维强场模型问题用对称差商代替哈密顿算符中的偏导数构造正则方程,再用平方守恒-辛格式求数值解,结果与理论分析一致,表明提出的方法是成功的,有可能克服传统差分法求解强场中量子系统时间演化遇到的困难

关键词: 强场, 量子系统的正则方程, 平方守恒-辛差分格式

Abstract: The canonic equations of an intense field model are constructed by substituting symmetric difference quotient for partial derivative in Hamiltonian and the numerical solution is found by using square-preserving and symplectic scheme.The result is consistent with theoretical analyses,and shows that the method is successful.It probably overcomes the difficulties that often encountered to intense field model by using conventional difference methods.

Key words: Intense field, canonical equation of quantum system, square-preserving and symplectic difference scheme

中图分类号:

O411
O56

吴承埙, 丁培柱, 陈植. 一个强场模型的哈密顿形式[J]. 计算物理, 1996, 13(4): 501-504.

Wu Chengxun, Ding Peizhu, Chen Zhi. HAMILTONIAN FORMALISM OF AN INTENSE FIELD MODEL[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 13(4): 501-504.