类环型Hulthén势任意分波束缚态的近似解析解

类环型Hulthén势是Hulthén势外面再加上类环型平方反比势.用指数函数近似表示任意分波的离心项,运用函数分析法讨论类环型Hulthén势Schrdinger方程的束缚态解.归一化的角向波函数和径向波函数用超几何函数表示,给出了束缚态能谱,体系的波函数和束缚态能谱与类环型Hulthén势的势参数和三个量子数有关.Hulthén势、Hartmann势和Makarov势束缚态能谱是类环型Hulthén势的特例.

双环形Hulthén势束缚态的近似解析解

构造了双环形Hulthén势,用指数函数近似表示任意分波的离心项,运用函数分析法讨论双环型Hulthén势Schrdinger方程的束缚态解.归一化的角向波函数和径向波函数用超几何多项式表示,给出了束缚态能谱,体系的束缚态的能谱方程和波函数与量子数和势参数有关.中心势场和单环形势场角向波函数及Hulthén势束缚态能谱是本文双环形Hulthén势的特例.

Analytical Approximate Solution of Schr?dinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l-State

We present the bound state solution of Schr6dinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state. We use generalized parametric Nikiforov-Uvarov method to obtain the energy levels and the corresponding eigenfunction in dosed form. We also compute the energy eigenvalues numerically.