大学物理 ›› 2021, Vol. 40 ›› Issue (2): 23-24.doi: 10.16854 /j.cnki.1000-0712.200121

• 教学讨论 • 上一篇    下一篇

参数微扰法中基态能量与近似级数的关系

吴锋,孟丽娟   

  1. 盐城工学院物理系,江苏盐城224051
  • 收稿日期:2020-04-08 修回日期:2020-05-22 出版日期:2021-02-20 发布日期:2021-03-01
  • 作者简介:吴锋( 1982—) ,男,江苏南通人,盐城工学院物理系讲师,博士,主要从事大学物理和大学物理实验教学和研究工作.

Relationship between ground state energy and approximate level in parameter perturbation method

WU Feng,MENG Li-juan   

  1. Department of Physics,Yan Cheng Institute of Technology,Yan Cheng,Jiangsu 224051,China
  • Received:2020-04-08 Revised:2020-05-22 Online:2021-02-20 Published:2021-03-01

摘要: 基于参数微扰法并使用满足空间交换对称性的波函数计算了氦原子的2 到12 级近似基态能量.计算表明,随着近似级数的增加,氦原子基态能量逐渐降低,改变量越来越小,基态能量与实验值的绝对误差存在一定起落.因此,选择合适的近似级数对氦原子基态能量的精确计算具有重要作用.

关键词: 氦原子, 基态能量, 波函数, 对称性

Abstract: Combining the parameter perturbation method with the wave functions that obeys space change symmetry, the ground state energy ( GSE) of the helium atom is calculated from the second to the twelfth level approximations. It is found that,with the increase of the level,the ground energy and its change decrease,and the absolute error between the calculated GSE and experiments exists small fluctuation. Therefore,the selection of approximate levels is vitally important for the accurate GSE calculation of the atom.

Key words: helium atom, ground state energy, wave function, symmetry