大学物理 ›› 2017, Vol. 36 ›› Issue (10): 21-23.doi: 10. 16854 /j. cnki. 1000-0712. 2017. 10. 007

• 教学讨论 • 上一篇    下一篇

类氦原子基态能量的哈密顿替代法研究

孟丽娟,吴锋   

  1. 盐城工学院物理系,江苏盐城224051
  • 出版日期:2017-10-20 发布日期:2017-10-20
  • 通讯作者: 吴锋,E - mail: wufeng@ ycit. edu. cn
  • 作者简介:孟丽娟( 1982—) ,女,江苏盐城人,盐城工学院物理系讲师,博士,主要从事大学物理教学及低维纳米
  • 基金资助:
    国家自然科学基金项目( 11647071) 、江苏省自然科学基金项目( BK20160435) 资助

MENG Li-juan,WU Feng   

  1. Department of Physics,Yancheng Institute of Technology,Yancheng,Jiangsu 224051,China
  • Online:2017-10-20 Published:2017-10-20

摘要: 首次将哈密顿替代法用于计算类氦原子基态能量. 计算结果与单参数变分法给出的数值相同,比一阶微扰法计算的能量更接近实验值. 由于计算过程简单直观,不需选取试探波函数,不受微扰项大小限制,而且近似度高,该方法可在教学中采用.

Abstract: The ground state energies of helium - like atoms are studied by using the Hamiltonian substitution method.   The calculated results are the same as those from the one - parameter variational approach and agreement in well   with experiment than the values from the first - order perturbation method. The present calculation is simple and comparatively   accurate,without the need for trial wave function and the limitation by the perturbation magnitude,so that the   Hamiltonian substitution method is an excellent choice for teaching.

Key words: Hamiltonian substitution method, helium - like atom, ground state energy