Wigner3j.m

Wigner3j(j1,j2,j,m1,m2,m) returns the Wigner 3j-symbol.

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Wigner3j(j1,j2,j,m1,m2,m) returns the Wigner 3j-symbol, where j1, j2, j, m1, m2, and m are half-integers. Physically, the Wigner 3j-symbol is closely related to the Clebsch-Gordon coefficient <j1,j2,m1,m2|j1,j2,j,m>, the square of which is the probability that a system of two particles with angular momentum j1 and j2 respectively and z-component of angular momentum m1 and m2 respectively has total angular momentum j and z-component of total angular momentum m.

I haven't tested this function thoroughly yet, so there may be some bugs. Please let me know if you find any.

Cite As

David Terr (2026). Wigner3j.m (https://www.mathworks.com/matlabcentral/fileexchange/5275-wigner3j-m), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: Wigner3j symbol

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0

I added more error-checking and changed the names of the inputs to more closely match those used by ClebschGordon.