修正Poschl-Teller势Schrodinger方程束缚态的近似解析解

Approximate Analytical Solutions of Bound States for Schrodinger Equation with Modified Poschl-Teller Potential

利用我们最近提出的关于离心项的一个新的近似表达式,获得了修正Pöschl-Teller势非S波束缚态的近似解析解,给出了能谱方程和相应的归一化的径向波函数。数值计算结果表明,由新的离心项的近似表达式获得的能量本征值和Mathematica程序包给出的计算结果很好的一致。

We use a new approximation scheme for the centrifugal term, and present approximate analytical solutions of bound states for modified Pöschl-Teller potential with the arbitrary angular momentum states. The normalized wave functions and energy equation for bound states are given. The numerical results show that our results are in good agreement with those obtained by using the Mathematica package, and that the new approximation scheme is better than the old approximation scheme.