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Re: Coulomb Functions?

• To: mathgroup at yoda.physics.unc.edu
• Subject: Re: Coulomb Functions?
• From: mcdonald at quark.umd.edu (Bill MacDonald)
• Date: Mon, 20 Jan 92 10:39:26 EST

> 
>         I am working on a physics problem (the Hanbury-Brown Twiss interference
> effect in ultra-relativistic heavy ion collisions) which requires some major
> reductions of integrals involving Coulomb functions (a sub-species of
> confluent hypergeometric fucntions which solve the Coulomb-Schroedinger
> equation).  I've worked a bit on an Mma package for doing gymnastics with
> Coulomb functions, but before I get too far, I'd like to know if anyone
> has already developed a Mma package for dealing with them.
> 
>         Any Coulomb gurus out there?
> 
> John Cramer
> Dept. of Physics
> University of Washington
> Bitnet: cramer at uwaphast
> Internet: cramer at phast.phys.washington.edu or c at npl.washington.edu
> 
> 
John,
   Probably you are already using the algorithm which Da-Shuan Feng, at
the Drexel U. Physics Department, developed and used as the basis of his 
Coulomb wave function package.  This algorithm is based on a continued
fraction representation and, although I have not looked at it for 15 years,
I believe it would be the easiest, fastest, and most accurate one to use
for your Mma.
   

-- 

William M. MacDonald
Professor of Physics
University of Maryland
Internet: mcdonald at quark.umd.edu