chi0r_from_chi0q

Synopsis:

triqs_tprf::chi_wnr_t chi0r_from_chi0q (triqs_tprf::chi_wnk_cvt chi_wnk)

Fourier transform of the generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{q})\) in momentum-space to \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{r})\) in real-space.

Parameters

  • chi_wnk: Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{q})\) in one bosonic and one fermionic Matsuabara frequency and momentum space.

Return value

Generalized susceptibility \(\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{r})\) in one bosonic and one fermionic Matsuabara frequency and real space.

Documentation

Computes

(1)\[\chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{r}) = \mathcal{F}_{\mathbf{q} \rightarrow \mathbf{r}} \left\{ \chi^{(0)}_{\bar{a}b\bar{c}d}(\omega, \nu, \mathbf{q}) \right\}\]