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Runge-Lenz矢量与升降算子
RUNGE LENZ VECTOR AND RAISING AND LOWERING OPERATORS
【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RungeLenz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
【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.
- 【文献出处】 物理学报 ,ACTA PHYSICA SINICA , 编辑部邮箱 ,1997年07期
- 【分类号】O413
- 【被引频次】5
- 【下载频次】102