大学物理 ›› 2024, Vol. 43 ›› Issue (01): 13-.doi: 10.16854/j.cnki.1000-0712.230043

• 教学讨论 • 上一篇    下一篇

氦原子的超球绝热势

任振忠   

  1. 滨州学院 理学院,山东 滨州256600
  • 收稿日期:2023-02-14 修回日期:2023-03-20 出版日期:2024-03-01 发布日期:2024-03-05
  • 作者简介:任振忠(1983—),男,山东淄博人,滨州学院理学院副教授,博士,主要从事大学物理实验教学和原子物理研究工作.
  • 基金资助:
    滨州学院博士学位人员及具有硕士学位的高级职称人员科研启动费项目(2019Y22)资助

Hyperspherical adiabatic potential of Helium

REN Zhen-zhong   

  1. College of Science, Binzhou University, Binzhou, Shandong 256600, China
  • Received:2023-02-14 Revised:2023-03-20 Online:2024-03-01 Published:2024-03-05

摘要: 利用B样条技术和两粒子角函数,对氦原子的超球绝热哈密顿方程进行数值计算.获得了氦原子1S和1P态的超球势曲线和绝热道函数.计算结果与文献中的结果一致.文中计算方法可以处理三体系统的高角动量问题.

关键词: 氦原子, 超球坐标, B样条

Abstract: Based on B spline and two particle angular function, the hyperspherical adiabatic Hamiltonian equation of Helium atom is solved. The hyperspherical potential curves of  1S and 1P  state are presented, the channel functions are analyzed. The result is confirmed with the previous data. The calculation procedure can be used for the high angular momentum problems of three body system.

Key words:  helium, hyperspherical coordinate, B spline