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Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum

R. Friedberg·T. D. Lee·W. Q. Zhao
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Abstract

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 $g^{-1}$.

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R. Friedberg, T. D. Lee, W. Q. Zhao. 2005-10-25. Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum. https://doi.org/10.1016/j.aop.2005.11.009

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