从格林函数出发把Stark效应及Zeeman效应中的氢原子系统映射成为四维各向异性非简谐振子.利用复合场(Multi-component Field)对称因子(Symmetry Factor)方法及费曼图计算了基态能级的四阶微扰展开.计算了二阶和四阶真空圈图(Vacuum Diagram)的O(N)对称因子.通过引入复合2场张量把对称因子推广到复合42的耦合情况.提出4理论可以成为研究库仑系统问题的新方法.
The hydrogen atom in the Stark effect and Zeeman effect is mapped into the four-dimensional anisotropican harmonic oscillator by the Green function. The Symmetry Factor of four loops Vacuum Diagram is given. The tensor of Multicomponent4field is introduced to calculate the new case of Multicomponent42 field in the Zeeman effect. The four-order perturbation expansion of the ground state is studied by the mean of Multicomponent Field Symmetry Factor and Feynman Diagram. The4-theory may be the new tool for the study of Coulomb system.