改良的Manning-Rosen势Schrdinger方程散射态解

The Scattering States of Schrdinger Equataion with the Improved Manning-Rosen Potential

对改良的Manning-Rosen势的径向薛定谔方程任意l波散射态进行解析求解,得到按"K/2π标度"的相移公式和归一化的超几何函数表示的径向波函数。通过对散射振幅在极点解析性质的研究得到束缚态能级,而特征值的数值结果与先前结果的比较进一步验证了本文结果的精确性。

We obtianed the scattering state analytical solutions of the Schrodinger equation for the improved Manning - Rosen po- tential. The explicitly calculation formula of phase shift is derived and the normalized radial wave functions of scattering states on the ＂K/2π scale＂ are presented. The energy levels of the bound states are also obtained by studying analytical properties of scattering am- plitude. All data calculated by the above approximate analytical formulae are compared with those obtained by the previous. Numerical results show the accuracy of our results.