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应用φ4理论研究氢原子Stark效应及Zeeman效应
引用本文:钟鸣,陈浩.应用φ4理论研究氢原子Stark效应及Zeeman效应[J].华南师范大学学报(自然科学版),2007,1(2):62-69.
作者姓名:钟鸣  陈浩
作者单位:华南师范大学物理与电信工程学院,广东广州,510631
摘    要: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.

关 键 词:φ4  理论    Stark效应    Zeeman效应    氢原子
文章编号:1000-5463(2007)02-0062-08
修稿时间:2006-09-30

APPLICATION OF φ4-THEORY ON STARK EFFECT AND ZEEMAN EFFECT OF THE HYDROGEN ATOM
ZHONG Ming,CHEN Hao.APPLICATION OF φ4-THEORY ON STARK EFFECT AND ZEEMAN EFFECT OF THE HYDROGEN ATOM[J].Journal of South China Normal University(Natural Science Edition),2007,1(2):62-69.
Authors:ZHONG Ming  CHEN Hao
Institution:School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510631, China
Abstract: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.
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