Some recursive relations were derived for the radial matrix elements of Hydrogenic Atom using hypervirial Theorem and ladder operators.
本文使用超维里定理与升降算符方法，导出了氢原子跃迁矩阵元与平均值计算的一些递推关系式。
On the basis of previous works, in this paper, the general formulas and the recurrence formulas for radial matrix elements of the ring-shaped non-spherical oscillator are derived.
在此基础上，给出了环形非球谐振子径向矩阵元的通项公式和不同幂次径向矩阵元之间所满足的递推关系。
Another expression of the radial matrix elements for isotropic harmonic oscillator is obtained by using progressional expression of the generalized Laguerre polynomial and the partial integration.
利用广义拉盖尔多项式的级数表达式和分步积分法，给出了各向同性谐振子径向矩阵元的另一种表达式。
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