Hellmann-改良Kratzer势Schrodinger方程的散射态解

The Scattering States of Schr dinger Equation with Hellmann-modified Kratzer Potential

对离心项采用指数形式的近似,本文研究了具有Hellmann-改良Kratzer势的薛定谔方程的散射态问题,得到了归一化的散射态波函数和相应的散射相移,同时利用散射振幅解析性质获得了束缚态能级满足的方程.最后,数值求解特征值方程并和真实值数据进行了对比.

Within a proper exponential form approximation to the centrifugal term,the analytical scattering state of Schr dinger equation with Hellmann-modified Kratzer potential is studied.The normalized analytical radial wave functions are presented and the corresponding scattering phase shifts are derived.Moreover,the equations satisfying the energy level of the bound state are obtained by the analytical properties of scattering amplitude.Finally,eigenvalue equations are numerically solved and compared with the real value data.