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Re: Coulomb Functions?

  • To: mathgroup at
  • Subject: Re: Coulomb Functions?
  • From: mcdonald at (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 or c at
   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

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