任意维数和任意Angular Momentum的草帽型位势的收敛迭代解
Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum
摘要：
本文给出了具有$N$维径向势$V=\frac{g^2}{2}(r^2-1)^2$和角动量$l$的Schroedinger方程最低能态的显式收敛迭代解。对于较大的$g$，收敛速度类似于$g^{-1}$中的幂级数。
英文摘要：
We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with an $N$-dimensional radial potential $V=\frac{g^2}{2}(r^2-1)^2$ and an angular momentum $l$. For $g$ large, the rate of convergence is similar to a power series in $g^{-1}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
