广义振子势的精确束缚态解(英文)  

Accurate bound state solutions of generalized oscillatory potential

作　　者：陈刚[1] 袁奇英[1] 

机构地区：[1]绍兴文理学院物理系,绍兴312000

出　　处：《原子与分子物理学报》2004年第1期143-148,共6页Journal of Atomic and Molecular Physics

摘　　要：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.

关 键 词：广义振子势 SCHROEDINGER方程 束缚态 精确解 径向矩阵元 

分 类 号：O413[理学—理论物理]