Dcm2wigner.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:35:40Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:48:09Z

Rename Arguments section heading to Parameters

Kuprov: Normalise preformatted blank lines in function documentation blocks

2026-06-05T16:40:48Z

Normalise preformatted blank lines in function documentation blocks

Kuprov: Normalise sequential blank lines

2026-04-25T11:23:49Z

Normalise sequential blank lines

Admin: /* Notes */

2018-12-26T13:44:09Z

‎Notes

Admin: /* Outputs */

2018-12-26T12:47:54Z

‎Outputs

Admin at 12:47, 26 December 2018

2018-12-26T12:47:41Z

Admin: Created page with "Converts a directional cosine matrix into second-rank Wigner function matrix. Rows and columns of the resulting Wigner matrix are sorted by descending ranks, that is: ..."

2015-11-02T12:05:35Z

Created page with "Converts a directional cosine matrix into second-rank Wigner function matrix. Rows and columns of the resulting Wigner matrix are sorted by descending ranks, that is: ..."

New page

Converts a directional cosine matrix into second-rank Wigner function matrix. Rows and columns of the resulting Wigner matrix are sorted by descending ranks, that is:

[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, listed vertically in the following order: T(2,2), T(2,1), T(2,0), T(2,-1), T(2,-2).

@@ Line 23: / Line 23: @@
 ==See also==
-[[wigner.m]], [[mat2sphten.m]], [[sphten2mat.m]], [[euler2dcm.m]]
+[[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]]''

@@ Line 6: / Line 6: @@
       D=dcm2wigner(dcm)
-==Arguments==
+==Parameters==
       dcm     - directional cosine matrix

@@ Line 14: / Line 14: @@
       D       - matrix of second rank Wigner D functions. Rows
                 and columns are sorted by descending ranks:
-−
                           [D( 2,2)  ...  D( 2,-2)
                              ...    ...    ...

@@ Line 24: / Line 24: @@
 ==See also==
 [[wigner.m]], [[mat2sphten.m]], [[sphten2mat.m]], [[euler2dcm.m]]
 ''Version 2.3, authors: [[Ilya Kuprov]]''

@@ Line 20: / Line 20: @@
 ==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).
+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==

@@ Line 1: / Line 1: @@
-Converts a directional cosine matrix into second-rank Wigner function matrix. Rows and columns of the resulting Wigner matrix are sorted by descending ranks, that is:
+{{DISPLAYTITLE:dcm2wigner.m}} __NOTOC__
+Converts a directional cosine matrix into second-rank Wigner function matrix.
                           [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, listed vertically in the following order: T(2,2), T(2,1), T(2,0), T(2,-1), T(2,-2).