Wigner3j symbol
by Kobi
09 Jul 2008
(Updated 01 Aug 2013)
Wigner3j( J123, M123) calculates the Wigner 3j symbol.
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| File Information |
| Description |
Wigner3j( J123, M123) calculates the Wigner 3j-symbol according to Racah formula.
The Wigner 3j symbol is useful for multiplication of Spherical Harmonics (and their generalizations) and for addition of angular momentum.
The are related to the Clebsch-Gordan coefficients by:
Wigner3j( J123, M123 ) = <J1,J2,M1,M2| J1,J2,J3,-M3> * (-1)^(J1-J2-M3) * (2*J3+1)^(-1/2).
This function is not limited to the factorial limitation (170), so it can be useful for any value of J. |
| Acknowledgements |
Wigner3j.M
inspired this file.
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| MATLAB release |
MATLAB 7.5 (R2007b)
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| Updates |
| 01 Aug 2013 |
(1) Zero value replaces the error massages for the selection rules: m1+m2+m3~=0, j3 > |j1-j2|, j3 > j1+j2, |mi| > ji.
Thanks to Barratt Park and Brice DUBOST.
(2) Warning massages are identified. |
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