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This page contains writeups of the PHYSTM (fortran) libray. Fortran sources are available upon request.


1.  Matrix operations

  • MARDI
    Standard eigenvalue problem
  • AMBLE
    Generalized eigenvalue problem
  • MATIN / MINV
    Matrix inversion (real)
  • CMATIN / CMINV
    Matrix inversion (complex)

2.  Special funtions

  • BESSIK
    Modified Bessel functions of first kind In(x) and of the second kind Kn(x) with n positive integer (Abramowitz and Stegun, p.374)
  • BESSJ
    Bessel functions of first kind Jn(x) and of the second kind Yn(x) with n positive integer (Abramowitz and Stegun, p.358).
  • BESSPH
    Spherical Bessel functions (Abramowitz and Stegun, p.443).
  • COUFRA
    Coulomb wave functions
  • WITT
    Witthaker functions
  • HARSPH
    Legendre polynomials and spherical harmonics
  • HANSPH
    Spherical Hankel functions

3.  Quantum mechanics

  • CLEBS
    Clebsch-Gordan coefficients
  • SIXJ
    6j coefficients
  • NEUFJ
    9j coefficients
  • NUM1L
    Bound states of a given potential (single-channel, real)
  • DEPHASE
    Phase shifts in the potential model (single-channel, real)
  • COLIS
    Collision matrix for multichannel scattering
  • NUMFOX
    Bound states for multichannel problems

4.  General usage

  • SPLIN5 / INSPL5
    5th order spline interpolation

5.  Other libraries (available on PNPTPM): the writeups of other common libraries can be found on external sites:

Contact person: P. Descouvemont - pdesc@ulb.ac.be
Last updated July 28, 2009