高阶移位1/N展开的渐近迭代法
Large-order shifted 1/N expansions through the asymptotic iteration method
摘要：
在渐近迭代法的框架内的扰动技术被用来获得大的顺序移动1/N的扩展，其中N是空间维数。这种方法与通常的瑞利-薛定谔微扰理论相反，不需要计算矩阵元。将该方法应用于薛定谔方程，并以三维非多项式势$V(r)=r^2+\frac{b r^2}{(1+cr^2)}$为例进行了讨论。
英文摘要：
The perturbation technique within the framework of the asymptotic iteration method is used to obtain large-order shifted 1/N expansions, where N is the number of spatial dimensions. This method is contrary to the usual Rayleigh-Schrödinger perturbation theory, no matrix elements need to be calculated. The method is applied to the Schrödinger equation and the non-polynomial potential $V(r)=r^2+\frac{b r^2}{(1+cr^2)}$ in three dimensions is discussed as an illustrative example.
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