Mat2sphten.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:38:52Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:50:25Z

Rename Arguments section heading to Parameters

Kuprov: Normalise sequential blank lines

2026-04-25T11:27:15Z

Normalise sequential blank lines

Kuprov: /* See also */

2023-07-25T08:54:52Z

‎See also

Admin: /* Outputs */

2018-12-27T12:45:13Z

‎Outputs

Admin at 12:44, 27 December 2018

2018-12-27T12:44:54Z

Admin: Created page with "Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine..."

2015-11-02T16:03:47Z

Created page with "Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine..."

New page

Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine independent components.

The components are listed in the following order:

rank 0: (0,0)
rank 1: (1,1) (1,0) (1,-1)
rank 2: (2,2) (2,1) (2,0) (2,-1) (2,-2)

and are returned as coefficients in front of the corresponding irreducible spherical tenror operators. Syntax:

[rank0,rank1,rank2]=mat2sphten(M)

Outputs:

rank0 - a single number giving the coefficient of T(0,0) in
the spherical tensor expansion.

rank1 - a row vector with three numbers giving the coeffici-
ents of T(1,1), T(1,0) and T(1,-1) in the spherical
tensor expansion.

rank2 - a row vector with five numbers giving the coeffici-
ents of T(2,2), T(2,1), T(2,0), T(2,-1) and T(2,-2)
in the spherical tensor expansion.

See Table 1 in http://dx.doi.org/10.1016/0022-2364(77)90011-7 (note that minus signs are absorbed into the coefficients in Spinach).

@@ Line 30: / Line 30: @@
 ==See also==
-[[irr_sph_ten.m]], [[stevens.m]], [[pauli.m]], [[sphten2mat.m]], [[mat2axrh.m]]
+[[irr_sph_ten.m]], [[stevens.m]], [[pauli.m]], [[sphten2mat.m]], [[mat2axrh.m]], [[add_spins.m]], [[cg_fast.m]], [[clebsch_gordan.m]], [[comm.m]], [[hilb2liouv.m]], [[ist_product_table.m]], [[lorentz.m]], [[multipack.m]], [[perm_group.m]], [[rocomm.m]], [[rwalk.m]], [[sle_operators.m]], [[sorensen.m]], [[spher_harmon.m]], [[stev2sph.m]], [[superop.m]], [[twospinist.m]], [[wigner.m]], [[wigner_3j.m]], [[wigner_6j.m]], [[Kernel_utilities]]
 ''Version 2.8, authors: [[Ilya Kuprov]]''

@@ Line 12: / Line 12: @@
       [rank0,rank1,rank2]=mat2sphten(M)
-==Arguments==
+==Parameters==
       M          - 3x3 interaction tensor

← Older revision		Revision as of 11:27, 25 April 2026
Line 33:		Line 33:

	[[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups\|SU(2), SO(3), and other groups]]		[[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups\|SU(2), SO(3), and other groups]]
−

	''Version 2.8, authors: [[Ilya Kuprov]]''		''Version 2.8, authors: [[Ilya Kuprov]]''

← Older revision		Revision as of 08:54, 25 July 2023
Line 32:		Line 32:
	[[irr_sph_ten.m]], [[stevens.m]], [[pauli.m]], [[sphten2mat.m]], [[mat2axrh.m]]		[[irr_sph_ten.m]], [[stevens.m]], [[pauli.m]], [[sphten2mat.m]], [[mat2axrh.m]]

		+	[[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups\|SU(2), SO(3), and other groups]]

−	''Version 2.3, authors: [[Ilya Kuprov]]''	+
		+	''Version 2.8, authors: [[Ilya Kuprov]]''

@@ Line 20: / Line 20: @@
     rank0      - a single number giving the coefficient of T(0,0) in
                  the spherical tensor expansion.
-−
     rank1      - a row vector with three numbers giving the coeffici-
                  ents of T(1,1), T(1,0) and T(1,-1) in the spherical
                  tensor expansion.
-−
     rank2      - a row vector with five numbers giving the coeffici-
                  ents of T(2,2), T(2,1), T(2,0), T(2,-1) and T(2,-2)

@@ Line 1: / Line 1: @@
-Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine independent components.
+{{DISPLAYTITLE:mat2sphten.m}} __NOTOC__
-The components are listed in the following order:
+  rank 0: (0,0)
- rank 0: (0,0)
+and are returned as coefficients in front of the corresponding irreducible spherical tensor operators returned by [[irr_sph_ten.m]] function.
-and are returned as coefficients in front of the corresponding irreducible spherical tenror operators. Syntax:
+==Syntax==
-                    [rank0,rank1,rank2]=mat2sphten(M)
+     [rank0,rank1,rank2]=mat2sphten(M)
-Outputs:
+==Arguments==
     rank0      - a single number giving the coefficient of T(0,0) in
@@ Line 24: / Line 29: @@
                  in the spherical tensor expansion.
-See Table 1 in http://dx.doi.org/10.1016/0022-2364(77)90011-7 (note that minus signs are absorbed into the coefficients in Spinach).
+==See also==