东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (9): 1059-1062.DOI: -

• 论著 • 上一篇    

氢原子的量子理论

姜迅东;李林;胡荣泽;   

  1. 东北大学理学院;东北大学理学院;北京钢铁研究总院 辽宁沈阳110004;辽宁沈阳110004;北京100081
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-09-15 发布日期:2013-06-23
  • 通讯作者: Jiang, X.-D.
  • 作者简介:-
  • 基金资助:
    辽宁省自然科学基金资助项目(20031020)

Quantum theory of hydrogen atom

Jiang, Xun-Dong (1); Li, Lin (1); Hu, Rong-Ze (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) Central Iron and Steel Research Institute, Beijing 100081, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-09-15 Published:2013-06-23
  • Contact: Jiang, X.-D.
  • About author:-
  • Supported by:
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摘要： 阐述了表征氢原子内在属性的各种物理量的微观本质,证明氢原子系统的量子能量、系统内部电子的量子轨道动量及原子核和电子的量子相对距离均与原子系统所处的量子状态有关.当原子系统处于不同的量子状态时,上述量子物理量的取值完全不同.首次建立适合氢原子特性的量子算符代数理论.根据氢原子的量子哈密顿量表示,结合创新的量子算符代数理论,得到氢原子的能量、氢原子的基态能量、电子轨道角动量、氢原子的光谱常数等各种物理量的理论值.结果表明,氢原子的能量、氢原子的基态能量、氢原子的光谱常数均与氢原子中的原子核及电子的量子尺寸有关.氢原子的光谱常数与实验测定值完全符合.

关键词: 氢原子, 量子态, 电子, 能级, 自旋, 对数螺线, 光谱常数

Abstract: Discusses in detail the microscopic nature of various physical quantities characterizing the intrinsic attributes of hydrogen atom to prove that the hydrogen atom's quantum energy, the inner quantum orbital momentum of electron and the relative quantum distance between atomic nucleus and electron all relate to the quantum state of the atomic system. The above physical quantities of quantum take different values if the atomic system are in different quantum states. A quantum operator algebraic theory is proposed first to suit the character of the hydrogen atom. Based on the Hmiltonian expression for hydrogen atom in combination with the theory proposed, the theoretical values of the hydrogen atom's energy, ground state energy and spectrum constant and the electron orbital angular momentum are given. The results indicate that for hydrogen atom the theoretical values of its energy, ground state energy and spectrum constant all relate to the quantum size of the electron and the nucleus of hydrogen atom. Furthermore, the spectrum constant conforms well with the experimental value.

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