dorsal/arxiv
View SchemaConvergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum
| Authors | R. Friedberg, T. D. Lee, W. Q. Zhao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510193 |
| URL | https://arxiv.org/abs/quant-ph/0510193 |
| DOI | 10.1016/j.aop.2005.11.009 |
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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"abstract": "We present an explicit convergent iterative solution for the lowest energy\nstate of the Schroedinger equation with an $N$-dimensional radial potential\n$V=\\frac{g^2}{2}(r^2-1)^2$ and an angular momentum $l$. For $g$ large, the rate\nof convergence is similar to a power series in $g^{-1}$.",
"arxiv_id": "quant-ph/0510193",
"authors": [
"R. Friedberg",
"T. D. Lee",
"W. Q. Zhao"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2005.11.009",
"title": "Convergent Iterative Solutions for a Sombrero-Shaped Potential in Any Space Dimension and Arbitrary Angular Momentum",
"url": "https://arxiv.org/abs/quant-ph/0510193"
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