弱时间简谐电场中类氢原子的变分微扰计算Ⅱ:激发态(21±1)和(32±2)

计算物理 ›› 1993, Vol. 10 ›› Issue (1): 46-54.

弱时间简谐电场中类氢原子的变分微扰计算Ⅱ:激发态(21±1)和(32±2)

李桂琴, 丁培柱

吉林大学原子与分子物理研究所, 长春 130023

收稿日期:1991-10-02 修回日期:1992-06-09 出版日期:1993-03-25 发布日期:1993-03-25
基金资助:
国家自然科学基金;教委博士点基金

VARIATIONAL PERTURBATION CALCULATION FOR HYDROGEN-LIKE ATOMS IN THE SMALL AND TIME HARMONIC ELECTRIC FIELD Ⅱ:THE EXCITED STATES (21±1)AND (32±2)

Li Guiqin, Ding Peizhu

Institute of Atomic and Molecular Physics, Jilin University, Changchun 130023

Received:1991-10-02 Revised:1992-06-09 Online:1993-03-25 Published:1993-03-25

摘要/Abstract

摘要： 本文是文献[4]的续篇,采用基于Schrödinger方程流体动力学相似模型的变分微扰法计算了弱时间简谐电场中类氢原了H、He⁺、Li⁺²、Be⁺³、B⁺⁴激发态(21±1)和(32±2)的扰动波函数以及极化率与第一共振频率,讨论了电子云随时间的变化。结果表明,极化率与第一共振频率的计算值与精确值值符合得很好。结果再次表明,在应用变分微扰法计算极化率时,振幅微扰项∈与幅角项S是同等重要的。本文及文献[4]的工作部分地完成了Askar等人在文献[3]中宣布将要进行的工作。

关键词: Schrdinger方程流体动力学相似, 变分微扰法, 激发态

Abstract: In this paper as continuation of our first paper [4], the variational perturbation scheme based on hydrodynamic analogy to Schrödinger equation is adopted and the perturbed wavefunctions for the hydrogen-like atoms H, He⁺, Li⁺², Be⁺³,B⁺⁴ in their excited states (21±1)and (32±2)in a small and time harmonic electric field and the polarizabilities and the 1st resonant frequences are calculated. And the variation of the electronic probability is also discussed. It is shown that the calculated results of the polarizability and the 1st resonant frequence are in good agreement with the exact data. And it is further shown that ∈ and S play the same important role in the calculation of the polarizability using this scheme.

Key words: Hydrodynamic analogy to Schrödinger equation, variational perturbation scheme, excited state

李桂琴, 丁培柱. 弱时间简谐电场中类氢原子的变分微扰计算Ⅱ:激发态(21±1)和(32±2)[J]. 计算物理, 1993, 10(1): 46-54.

Li Guiqin, Ding Peizhu. VARIATIONAL PERTURBATION CALCULATION FOR HYDROGEN-LIKE ATOMS IN THE SMALL AND TIME HARMONIC ELECTRIC FIELD Ⅱ:THE EXCITED STATES (21±1)AND (32±2)[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 10(1): 46-54.

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