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Schrödinger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. 关键词： 双环形Hulthén势 任意分波 近似解析解 束缚态

Approximate analytical solutions of bound states for the double ring-shaped Hulthén potential

The double ring-shaped Hulthén potential is proposed in this paper. By using the analytical method of function, the approximate analytical solutions of bound state solutions of Schrödinger equation for the double ring-shaped Hulthén potential are presented within the framework of an exponential approximation of the centrifugal potential for arbitrary l-states. The normalized angular and radial wave function expressed in terms of hypergeometric polynomials are presented. The energy spectrum equations are obtained. The wave function and the energy spectrum equations of the system are related to three quantum numbers and parameters of double ring-shaped Hulthén potential. The polar angular wave functions of the central potential and ring-shaped potential and the energy spectrum equations of Hulthén potential turn out to be the special cases of the double ring-shaped Hulthén potential.
Keywords： double ring-shaped Hulthén potential l-wave')" href="#">arbitrary l-wave approximate analytical solution bound states