差分法计算7Li2纯振动能级和振-转能级

衣汉威; 张凤东; 石爱民; 刘淑琴; 丁培柱

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差分法计算⁷Li₂纯振动能级和振-转能级

更新时间：2020-08-12

- 差分法计算⁷Li₂纯振动能级和振-转能级
- Computing the pure vibrational and vibrational-rotational energy eigenvalues of ⁷Li₂ by difference method
- 光学精密工程 2002年10卷第3期页码：313-317
- 作者机构：
  
  1. 长春光学精密机械学院, 光学物理系,吉林长春,130022
  2. 大连铁道学院, 物理系,辽宁大连,116028
  3. 吉林大学应用, 力学系,吉林长春,130026
  4. 吉林大学原子分子物理所,吉林长春,130023
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助(10074019,10171039)();国家重大基础研究专项资助(G1999032804)()
- DOI：
  中图分类号： O436
- 收稿日期：2002-07-09，
  
  修回日期：2002-01-26，
  
  网络出版日期：2002-06-15，
  
  纸质出版日期：2002-06-15
- 稿件说明：
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衣汉威, 张凤东, 石爱民, 刘淑琴, 丁培柱. 差分法计算7Li2纯振动能级和振-转能级[J]. 光学精密工程, 2002,(3): 313-317

YI Han-wei, ZHANG Feng-dong, SHI Ai-min, LIU Shu-qin, DING Pei-zhu. Computing the pure vibrational and vibrational-rotational energy eigenvalues of 7Li2 by difference method[J]. Editorial Office of Optics and Precision Engineering, 2002,(3): 313-317
衣汉威, 张凤东, 石爱民, 刘淑琴, 丁培柱. 差分法计算7Li2纯振动能级和振-转能级[J]. 光学精密工程, 2002,(3): 313-317 DOI：

YI Han-wei, ZHANG Feng-dong, SHI Ai-min, LIU Shu-qin, DING Pei-zhu. Computing the pure vibrational and vibrational-rotational energy eigenvalues of 7Li2 by difference method[J]. Editorial Office of Optics and Precision Engineering, 2002,(3): 313-317 DOI：

摘要

提出了利用差分法计算双原子分子纯振动能级和振-转能级的具体方法.利用了差分法计算了7Li2的能级并且把计算的结果和Ley-Koo等人用其他方法计算的结果作了对比

指出了这种计算方法和其他计算方法不同的是不需要求出相波函数而直接求出能级值

因此这种计算方法有比较简便的优点

它可和其他计算方法配合使用更准确地求解双原子分子的振动能级问题.这种计算方法可用于准确确定双原子的解析和数值的势能函数

进一步可应用在准分子的发光等问题的研究中.

Abstract

The difference method for solving pure vibrational energy level and vibration-rotational energy level is proposed in this paper. Vibratioanal and vibrational-rotatioonal energy eigenvalues of 7Li 2 were calculated by means of introducing a difference method

and the computed results were compared with the results calculated by Ley-Koo

et al. In the process of solving the vibrational energy levels

the difference method is distinguished from other methods

in which wave functions do not need finding out

and vibrational energy levels can be found directly. Therefore it has the advantage of simplicity over other methods. It can be used to accurately determine both analytical and numerical potential functions of biatomic molecules. Furthermore

it can be employed to solve radiation problems such as quasi-molecular radiation.

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references

L ey_Koo E.Vibration levels and frank-condone facto rs of diatomic molecules via morse potentials in a bo x[J].I nter nation al J our nal of Q uantum Chemistry,1995,56:175-186.

L ey_Koo E.V ibration-rotational levels and frank-condone facto rs of Diatomic M olecules via M orse Potentials in a Box[J]. I nter national Jour nal of Q uantum Chemistry,1996,58:23-28.

Cooney J P.Convenient N umerical T echnique for Solv ing the One-dimensional Schr(dinger Equation for Bound states[J]. A m.J.Phys.1981,49:76-77.

W u L ianao.Finite Differential A ppr oach to the Radial Schr(dinger Equation[J],A cta Scientiar um N atur alium Universitatis Jilinensis,1994,(3):67-70.

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