Lm2lin.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:38:41Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:50:18Z

Rename Arguments section heading to Parameters

Kuprov: Normalise sequential blank lines

2026-04-25T11:27:16Z

Normalise sequential blank lines

Admin at 14:03, 28 December 2018

2018-12-28T14:03:43Z

Admin: Created page with "Converts L,M spin state specification to linear indexing specification. In the linear indexing convention, the states are listed in the order of inc reasing L rank, and, with..."

2015-12-08T15:53:47Z

Created page with "Converts L,M spin state specification to linear indexing specification. In the linear indexing convention, the states are listed in the order of inc reasing L rank, and, with..."

New page

Converts L,M spin state specification to linear indexing specification.
In the linear indexing convention, the states are listed in the order of
inc reasing L rank, and, within ranks, in the order of decreasing M pro-
jection. Syntax: I=lm2lin(L,M)

WARNING - zero base indexing, that is:

(L=0,M=0) -> I=0
(L=1,M=1) -> I=1
(L=1,M=0) -> I=2, et cetera...

Arrays of any dimension are accepted as arguments.

@@ Line 25: / Line 25: @@
 ==See also==
-[[lin2lm.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]]
+[[lin2lm.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]], [[adelim.m]], [[coherence.m]], [[correlation.m]], [[dfpt.m]], [[homospoil.m]], [[human2opspec.m]], [[path_trace.m]], [[scomponents.m]], [[sinkhole.m]], [[sparse2csr.m]], [[sphten2zeeman.m]], [[stitch.m]], [[zte.m]], [[Kernel_utilities]]
 ''Version 2.3, authors: [[Ilya Kuprov]]''

@@ Line 10: / Line 10: @@
       I=lm2lin(L,M)
-==Arguments==
+==Parameters==
       L   - ranks of the spin states

@@ Line 26: / Line 26: @@
 ==See also==
 [[lin2lm.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]]
 ''Version 2.3, authors: [[Ilya Kuprov]]''

@@ Line 1: / Line 1: @@
-Converts L,M spin state specification to linear indexing specification.
+{{DISPLAYTITLE:lm2lin.m}} __NOTOC__
-In the linear indexing convention, the states are listed in the order of
+Converts L,M indexing of spin states into linear indexing. In the linear indexing convention, spin states are listed in the order of increasing L rank, and, within ranks, in the order of decreasing M projection. Zero base counting is used:
-inc reasing L rank, and, within ranks, in the order of decreasing M pro-
-jection. Syntax: I=lm2lin(L,M)
+                  (L=0,M=0) -> I=0
-Arrays of any dimension are accepted as arguments.
+''Version 2.3, authors: [[Ilya Kuprov]]''