clebsch_gordan

clebsch_gordan, a FORTRAN77 code which evaluates certain coefficient functions used in quantum mechanics.

MATHEMATICA includes the commands ClebschGordan, ThreeJSymbol, and SixJSymbol, which can be used to evaluate the Clebsch Gordon, Wigner 3J and Wigner 6J functions.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

clebsch_gordan is available in a FORTRAN77 version.

Related Programs:

clebsch_gordan_test

slatec, a FORTRAN90 library which includes routines to evaluate the Clebsch Gordon, Wigner 3J and Wigner 6J functions.

TEST_VALUES, a FORTRAN77 library which contains a few test values of many functions.

Reference:

1. Milton Abramowitz, Irene Stegun,
   Handbook of Mathematical Functions,
   National Bureau of Standards, 1964,
   ISBN: 0-486-61272-4,
   LC: QA47.A34.
2. Albert Messiah,
   Quantum Mechanics,
   Volume II,
   North Holland, 1963,
   ISBN13: 978-0486409245,
   LC: QC174.1.M413
3. Stephen Wolfram,
   The Mathematica Book,
   Fourth Edition,
   Cambridge University Press, 1999,
   ISBN: 0-521-64314-7,
   LC: QA76.95.W65.

Source Code:

• clebsch_gordan.f, the source code;
• clebsch_gordan.sh, commands to compile the source code;