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分析表明,对于二维氢原子和各向同性谐振子,从径向Schr?dinger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 Schr?dinger equation is intimately connected with the closeness of classical orbits and the dynamical symmetry.
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