Difference between revisions of "Dcm2wigner.m"
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D - matrix of second rank Wigner D functions. Rows | D - matrix of second rank Wigner D functions. Rows | ||
and columns are sorted by descending ranks: | and columns are sorted by descending ranks: | ||
| − | + | ||
[D( 2,2) ... D( 2,-2) | [D( 2,2) ... D( 2,-2) | ||
... ... ... | ... ... ... | ||
Revision as of 17:40, 5 June 2026
Converts a directional cosine matrix into second-rank Wigner function matrix.
Syntax
D=dcm2wigner(dcm)
Arguments
dcm - directional cosine matrix
Outputs
D - matrix of second rank Wigner D functions. Rows
and columns are sorted by descending ranks:
[D( 2,2) ... D( 2,-2)
... ... ...
D(-2,2) ... D(-2,-2)]
Notes
The resulting Wigner matrix is to be used as v=W*v, where v is a column vector of irreducible spherical tensor coefficients in the following order: T(2,2), T(2,1), T(2,0), T(2,-1), T(2,-2). See the notes on rotation conventions for the basic definitions of rotations in Spinach.
See also
wigner.m, mat2sphten.m, sphten2mat.m, euler2dcm.m
Version 2.3, authors: Ilya Kuprov