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arxiv: quant-ph/0601003 · v1 · submitted 2005-12-31 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords lambdaparameterangulararbitraryasymptoticcomplexeigenvaluesiteration
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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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