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

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

2005-12-31

arxiv.org/abs/quant-ph/0601003v1

Physics

Quantum Physics

15 pages, 1 figure

Scientific paper

10.1139/P06-007

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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