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.IX Title "COULOMB 3pm"
.TH COULOMB 3pm 2024-04-25 "perl v5.38.2" "User Contributed Perl Documentation"
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.SH NAME
PDL::GSLSF::COULOMB \- PDL interface to GSL Special Functions
.SH DESCRIPTION
.IX Header "DESCRIPTION"
This is an interface to the Special Function package present in the GNU Scientific Library.
.SH SYNOPSIS
.IX Header "SYNOPSIS"
.SH FUNCTIONS
.IX Header "FUNCTIONS"
.SS gsl_sf_hydrogenicR
.IX Subsection "gsl_sf_hydrogenicR"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)
.Ve
.PP
Normalized Hydrogenic bound states. Radial dipendence.
.PP
gsl_sf_hydrogenicR does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS gsl_sf_coulomb_wave_FGp_array
.IX Subsection "gsl_sf_coulomb_wave_FGp_array"
.Vb 1
\&  Signature: (double x(); double [o]fc(n); double [o]fcp(n); double [o]gc(n); double [o]gcp(n); int [o]ovfw(); double [o]fe(n); double [o]ge(n); double lam_min; int kmax=>n; double eta)
.Ve
.PP
.Vb 1
\& Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F \- k_lam_G. if ovfw is signaled then F_L(eta,x)  =  fc[k_L] * exp(fe) and similar.
.Ve
.PP
gsl_sf_coulomb_wave_FGp_array does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS gsl_sf_coulomb_wave_sphF_array
.IX Subsection "gsl_sf_coulomb_wave_sphF_array"
.Vb 1
\&  Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)
.Ve
.PP
.Vb 1
\& Coulomb wave function divided by the argument, F(xi, eta)/xi. This is the function which reduces to spherical Bessel functions in the limit eta\->0.
.Ve
.PP
gsl_sf_coulomb_wave_sphF_array does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS gsl_sf_coulomb_CL_e
.IX Subsection "gsl_sf_coulomb_CL_e"
.Vb 1
\&  Signature: (double L(); double eta();  double [o]y(); double [o]e())
.Ve
.PP
Coulomb wave function normalization constant. [Abramowitz+Stegun 14.1.8, 14.1.9].
.PP
gsl_sf_coulomb_CL_e does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SH AUTHOR
.IX Header "AUTHOR"
This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it>
All rights reserved. There
is no warranty. You are allowed to redistribute this software /
documentation under certain conditions. For details, see the file
COPYING in the PDL distribution. If this file is separated from the
PDL distribution, the copyright notice should be included in the file.
.PP
The GSL SF modules were written by G. Jungman.