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arXiv quant-ph/0601003quant-ph
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具有任意复尺寸参数c的角球特征值的渐近迭代法

The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c

T. Barakat, K. Abodayeh, B. Abdallah, O. M. Al-Dossary

摘要:

应用渐近迭代法计算了具有任意复尺寸参数$c$的角球本征值$λ^{m}_{\ell}(c)$。结果表明,在$\ell$、$m$和$c$的整个参数范围内,$λ^{m}_{\ell}(c)$的数值结果都与已发表的数据吻合得很好.文中还给出了大实数$c$的$λ^{m}_{\ell}(c)$的一些代表值。

英文摘要:

The asymptotic iteration method is applied, to calculate the angular spheroidal eigenvalues $λ^{m}_{\ell}(c)$ with arbitrary complex size parameter $c$. It is shown that, the obtained numerical results of $λ^{m}_{\ell}(c)$ 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 $λ^{m}_{\ell}(c)$ for large real $c$ are also given.

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。

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