Difference between revisions of "Lm2lin.m"

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==See also==
 
==See also==
 
[[lin2lm.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]]
 
[[lin2lm.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]]
−
 
  
 
''Version 2.3, authors: [[Ilya Kuprov]]''
 
''Version 2.3, authors: [[Ilya Kuprov]]''

Revision as of 12:27, 25 April 2026

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:

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

Syntax

    I=lm2lin(L,M)

Arguments

    L   - ranks of the spin states

    M   - projections of the spin states

Outputs

    I   - linear indices of spin states, with
          I=0 corresponding to L=0, M=0.

Notes

See the state indexing section for further information about how Spinach enumerates spherical tensor states.

See also

lin2lm.m, lin2lmn.m, lmn2lin.m, irr_sph_ten.m

Version 2.3, authors: Ilya Kuprov