广义振子势的精确束缚态解(英文)

Accurate bound state solutions of generalized oscillatory potential

本文求解了广义振子势在r ,θ ,φ方向上的Schr dinger方程 ,得到了它的能级和相应的归一化角向、径向波函数。利用广义拉盖尔多项式的积分公式得到了广义振子势的径向矩阵元的通向表达式。

The bound state solutions of Schrdinger equation in r,θ,φ dimensions for generalized oscillatory potential are solved exactly, its energy levels and corresponding normalized angular and radial wave functions are obtained. By using the integral formula of generalized Lagurre polynomials, the arbitrary radial matrix elements of this potential are derived.