物理与工程2025，Vol.35Issue(1)：5-9,20,6.
谈谈氢原子的动力学对称性
A NOTE ON THE DYNAMICAL SYMMETRY OF THE HYDROGEN ATOM
摘要
Abstract
The quantum mechanics of the hydrogen atom can be solved algebraically by the dy-namical symmetry.In this note we introduced firstly Pauli's derivation of the complete rela-tions among the various basic states with the same eigenvalue of the Hamiltonian.Secondly we also derived the same results by using algebraic method and some relations among the as-sociated Legendre functions.As a byproduct,we also obtained a recursive relation of the ra-dial wave functions.By using this recursive relation,we can derive the general radial wave function from the most simple radial wave function which has only an monomial term,much like deriving a general state from the highest weight state by using ladder operators.关键词
氢原子/动力学对称性/Laplace-Runge-Lenz算子/角动量算子Key words
hydrogen atom/dynamical symmetry/Laplace-Runge-Lenz operator/angular momentum operator引用本文复制引用
朱传界..谈谈氢原子的动力学对称性[J].物理与工程,2025,35(1):5-9,20,6.基金项目
2020年湖南省普通高等学校教学改革研究项目"2十4物理师范生培养方案探索"(HNJG-2020-0737) （HNJG-2020-0737）
2020年湖南文理学院校级教改项目"2十4物理师范生培养方案探索"(JGZD2009)和湖南文理学院高层次人才引进启动基金. （JGZD2009）
