Editing Computational implementation of integral equations

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===Conversion back from Fourier space to Real space===
===Conversion back from Fourier space to Real space===
:<math>\tilde{\gamma}_{mns}^{\mu \nu} (k)  \rightarrow \gamma_{mns}^{\mu \nu} (r)</math>  
<math>\tilde{\gamma}_{mns}^{\mu \nu} (k)  \rightarrow \gamma_{mns}^{\mu \nu} (r)</math>  
(basically the inverse of step 2).
(basically the inverse of step 2).
====Axial reference frame to spatial reference frame====
====Axial reference frame to spatial reference frame====
:<math>\tilde{\gamma}_{mns}^{\mu \nu} (k) \rightarrow  \tilde{\gamma}^{mnl}_{\mu \nu} (k)</math>
:<math>\tilde{\gamma}_{mns}^{\mu \nu} (k) \rightarrow  \tilde{\gamma}^{mnl}_{\mu \nu} (k)</math>
====Inverse Fourier-Bessel transform====
====Inverse Fourier-Bessel transform====
:<math>\tilde{\gamma}^{mnl}_{\mu \nu} (k) \rightarrow  \gamma^{mnl}_{\mu \nu} (r)</math>  
:<math>\tilde{\gamma}^{mnl}_{\mu \nu} (k) \rightarrow  \gamma^{mnl}_{\mu \nu} (r)</math> `Step-up' operations are given by Eq. 53 of Ref. 3. The inverse Hankel transform is
'Step-up' operations are given by Eq. 53 of Ref. 3. The inverse Hankel transform is
:<math>\gamma(r;l_1 l_2 l n_1 n_2)= \frac{1}{2 \pi^2 i^l} \int_0^\infty  \tilde{\gamma}(k;l_1 l_2 l n_1 n_2) J_l (kr) ~k^2 {\rm d}k</math>
:<math>\gamma(r;l_1 l_2 l n_1 n_2)= \frac{1}{2 \pi^2 i^l} \int_0^\infty  \tilde{\gamma}(k;l_1 l_2 l n_1 n_2) J_l (kr) ~k^2 {\rm d}k</math>
====Change from  spatial reference frame back to  axial reference frame====
====Change from  spatial reference frame back to  axial reference frame====
:<math>\gamma^{mnl}_{\mu \nu} (r) \rightarrow  \gamma_{mns}^{\mu \nu} (r)</math>.
:<math>\gamma^{mnl}_{\mu \nu} (r) \rightarrow  \gamma_{mns}^{\mu \nu} (r)</math>.
==Ng acceleration==
==Ng acceleration==
*[http://dx.doi.org/10.1063/1.1682399  Kin-Chue Ng "Hypernetted chain solutions for the classical one-component plasma up to Gamma=7000", Journal of Chemical Physics '''61''' pp. 2680-2689  (1974)]
*[http://dx.doi.org/10.1063/1.1682399  Kin-Chue Ng "Hypernetted chain solutions for the classical one-component plasma up to Gamma=7000", Journal of Chemical Physics '''61''' pp. 2680-2689  (1974)]
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