利用形状不变性求解变形Woods-Saxon势的能量本征值

Energy eigenvalues for the deformed Woods-Saxon potential by the shape invariance technique

对径向方程中非线性离心项采用Pekeris型的近似公式,利用形状不变性代数方法构造了超对称伴势,推导出含有变形Woods-Saxon势的薛定谔方程本征值满足的方程,并与AIM方法所得结果做了比较,验证了结论的正确性。

By applying Pekeris-type approximation formula to nonlinear centrifugal term,the supersymmetric partner potentials was constructed.The energy eigenvalues of Schrodinger equation for the deformed Woods-Saxon potential are calculated by using the shape invariance technique.The results are consistent with those obtained by using asymptotic iteration method.