【摘要】 分析表明，对于二维氢原子和各向同性谐振子，从径向Ｓｃｈｒｄｉｎｇｅｒ方程的因式分解导出的升降算子与ＲｕｎｇｅＬｅｎｚ矢量等价．这表明径向方程能够因式分解，与经典粒子轨道的闭合性及体系的动力学对称性密切相关更多还原

【Abstract】 Abstract It is shown that the raising and lowering operators derived from the factorization of the radial Schrdinger equation for the two dimensional hydrogen atom and the isotropic oscillator are equivalent to the Runge Lenz vector. This implies that the factorizability of the radial Schrdinger equation is intimately connected with the closeness of classical orbits and the dynamical symmetry.更多还原