kkrsusc/theory.md

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 title: Theory
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 # KKRsusc program: Theory
 
 This page should give you a brief introduction to the theoretical background of the KKRsusc program. To find more details on the theory and a detailed description on the method follow these links:
@@ -29,13 +30,11 @@ We now notice that the quantities present in the Green's function (The regular <
 Using a new basis set <span dir="">\\ket{\\phi\_{ilb}}</span>, where <span dir="">i</span> accounts for the lattice site, <span dir="">l</span> for the orbital, and <span dir="">b</span> for the energy. One can disentangle the spatial dependence using
 
 ```math
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 G^{proj}_{iLb,jL^'b^'}(E) = \int_{0}^{r_{MT}}drr^{2}\int_{0}^{r_{MT}}dr^{'}r^{'2} Y_{L}(\hat{r})\phi_{ilb}(r)G_{iL;jL^{'}}(r,r^{'};E)Y_{L^{'}}(\hat{r}^{'})\phi_{jl^{'}b^{'}}(r^{'})
 ```
 The basis function used for the projection is constructed as
 
 ```math
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 \phi_{ilb} = \frac{R_{il}(R;E_{b}}{\sqrt{\int_{0}^{r_{MT}}dr^{'}r^{'2}(R_{il}(r^{'};E_{b})^{2}}
 ```