A generating integral for the matrix elements of the Coulomb Green's function with the Coulomb wave functions

K. Dzikowski, O. D. Skoromnik

We analytically evaluate the generating integral $K_{nl}(\beta ,{\beta }^{\prime })={\int }_0^{\infty }{\int }_0^{\infty }{e}^{-\beta r-{\beta }^{\prime }{r}^{\prime }}{G}_{nl}{r}^q{r}^{\prime q^{\prime }}drd{r}^{\prime }$ and integral moments $J_{nl}(β, r) =…