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It was shown that the Runge-Lenz vector for a hydrogen atom is equivalent tothe raising and lowering operators derived from the factorization of radialSchr\"{o}dinger equation. Similar situation exists for an isotropic harmonicoscillator. It seems that there may exist intimate relation between thecloseness of classical orbits and the factorization of radial Schr\"{o}dingerequation. Some discussion was made about the factorization of a 1DSchr\"{o}dinger equation.Comment: 14 pages, no figure

Connection between the closeness of classical orbits and the factorization of the radial Schrödinger equation