Function rgsl::coulomb::hydrogenicR

pub fn hydrogenicR(n: i32, l: i32, Z: f64, r: f64) -> f64

This routine computes the n-th normalized hydrogenic bound state radial wavefunction,

R_n := 2 (Z^{3/2}/n^2) \sqrt{(n-l-1)!/(n+l)!} \exp(-Z r/n) (2Zr/n)^l L^{2l+1}_{n-l-1}(2Zr/n).

where L^a_b(x) is the generalized Laguerre polynomial (see Laguerre Functions). The normalization is chosen such that the wavefunction \psi is given by \psi(n,l,r) = R_n Y_{lm}.