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25 April 2024
 
  » arxiv » quant-ph/0510193

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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 ;
Date 25 Oct 2005
AbstractWe 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 $g^{-1}$.
Source arXiv, quant-ph/0510193
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