氢原子任意能级简并的解除

基金项目:

华南理工大学研究生教育创新计划资助项目

详细信息

THE REMOVAL OF THE DEGENERACY FOR ANY ENERGY LEVELS OF HYDROGEN ATOM

摘要: 寻求氢原子能级简并的解除，提出将氢原子同时置于同向电场与磁场中，并借助于抛物线坐标系研究氢原子中的电子与外电场以及外磁场的相互作用能对能级简并的影响，给出了处于磁场中的氢原子的能量本征值与本征函数，发现外磁场的存在消除了部分简并，再考虑外电场的作用，此时氢原子任意能级的简并均完全解除，同一n、m能级下，能级分裂为n-│m│条，相邻两能级间距为3nea0．
- 氢原子 /
- 电场 /
- 磁场 /
- 抛物线坐标系 /
- 量子数
Abstract: To seeking the removal of the degeneracy for energy levels of hydrogen atom, it is proposed that by putting the hydrogen atom in electromagnetic field of the same direction, the impact of degeneracy can be studied with the interaction energy which between the electron in hydrogen atom and the external electromagnetic field. Only considering magnetic field, the eigenvalues and eigenfunctions are given and the degeneracy can be partly removed. Again considering electric field, the degeneracy of any energy levels can be removed completely. The energy with given n and m splits to n-│m│ subband, and the neighbor level spacing is 3nea0.
- hydrogen atom /
- electric field /
- magnetic field /
- parabolic coordinates /
- quantum number