Difference between revisions of "Dcm2wigner.m"
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| − | Converts a directional cosine matrix into second-rank Wigner function matrix. Rows and columns | + | {{DISPLAYTITLE:dcm2wigner.m}} __NOTOC__ |
| − | + | Converts a directional cosine matrix into second-rank Wigner function matrix. | |
| + | |||
| + | ==Syntax== | ||
| + | |||
| + | D=dcm2wigner(dcm) | ||
| + | |||
| + | ==Parameters== | ||
| + | |||
| + | 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) | ||
... ... ... | ... ... ... | ||
D(-2,2) ... D(-2,-2)] | D(-2,2) ... D(-2,-2)] | ||
| − | The resulting Wigner matrix is to be used as v=W*v, where v is a column vector of irreducible spherical tensor coefficients | + | ==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]], [[anax2dcm.m]], [[anax2quat.m]], [[axis_tsymm.m]], [[dcm2euler.m]], [[euler_sup.m]], [[quat2anax.m]], [[rotmat_align.m]], [[rotor_stack.m]], [[xyz2sph.m]], [[Kernel_utilities]] | ||
| + | |||
| + | ''Version 2.3, authors: [[Ilya Kuprov]]'' | ||
Latest revision as of 19:35, 6 June 2026
Converts a directional cosine matrix into second-rank Wigner function matrix.
Syntax
D=dcm2wigner(dcm)
Parameters
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, anax2dcm.m, anax2quat.m, axis_tsymm.m, dcm2euler.m, euler_sup.m, quat2anax.m, rotmat_align.m, rotor_stack.m, xyz2sph.m, Kernel_utilities
Version 2.3, authors: Ilya Kuprov
