氢原子径向Schrdinger方程的因式分解与经典轨道的闭合性

Factorization of the Radial Schrodinger Equation of AHydrogen Atom and Closeness of Classical Orbits

利用三维氢原子的Ｒｕｎｇｅ－Ｌｅｎｚ矢量和角动量构造出了保证能量不变（Δｎ＝０）的三类升降算子（Δｌ＝±１，Δｍ＝０，±１），证明它们与径向Ｓｃｈｒｏｄｉｎｇｅｒ方程的因式分解所导出的角动量升降算子Ａ±（ｌ）等价。

By using the RungeLenz vector and angular momentum,three kinds of raising and lowering operators(Δl=±l,Δm=0,±1)conserving the energy(Δn=0)are constructed.It is demonstrated that these operators are equivalent to the angular momentum raising and lowering operators(Δl=±1)derived from the factorization of the radial Schrdinger equation.