dorsal/arxiv
View SchemaThe asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c
| Authors | T. Barakat, K. Abodayeh, B. Abdallah, O. M. Al-Dossary |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601003 |
| URL | https://arxiv.org/abs/quant-ph/0601003 |
| DOI | 10.1139/P06-007 |
Abstract
The asymptotic iteration method is applied, to calculate the angular spheroidal eigenvalues $\lambda^{m}_{\ell}(c)$ with arbitrary complex size parameter $c$. It is shown that, the obtained numerical results of $\lambda^{m}_{\ell}(c)$ are all in excellent agreement with the available published data over the full range of parameter values $\ell$, $m$, and $c$. Some representative values of $\lambda^{m}_{\ell}(c)$ for large real $c$ are also given.
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"abstract": "The asymptotic iteration method is applied, to calculate the angular\nspheroidal eigenvalues $\\lambda^{m}_{\\ell}(c)$ with arbitrary complex size\nparameter $c$. It is shown that, the obtained numerical results of\n$\\lambda^{m}_{\\ell}(c)$ are all in excellent agreement with the available\npublished data over the full range of parameter values $\\ell$, $m$, and $c$.\nSome representative values of $\\lambda^{m}_{\\ell}(c)$ for large real $c$ are\nalso given.",
"arxiv_id": "quant-ph/0601003",
"authors": [
"T. Barakat",
"K. Abodayeh",
"B. Abdallah",
"O. M. Al-Dossary"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/P06-007",
"title": "The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c",
"url": "https://arxiv.org/abs/quant-ph/0601003"
},
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