Normalized Hydrogenic Bound States

Function: double gsl_sf_hydrogenicR_1 (double Z, double r)

Function: int gsl_sf_hydrogenicR_1_e (double Z, double r, gsl_sf_result * result)

These routines compute the lowest-order normalized hydrogenic bound state radial wavefunction @c{$R_1 := 2Z \sqrt{Z} \exp(-Z r)$} @math{R_1 := 2Z \sqrt{Z} \exp(-Z r)}.

Function: double gsl_sf_hydrogenicR (int n, int l, double Z, double r)

Function: int gsl_sf_hydrogenicR_e (int n, int l, double Z, double r, gsl_sf_result * result)

These routines compute the n-th normalized hydrogenic bound state radial wavefunction, The normalization is chosen such that the wavefunction @math{\psi} is given by @math{\psi(n,l,r) = R_n Y_{lm}}.