Difference between revisions of "Lin2lm.m"

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{{DISPLAYTITLE:function.m}} __NOTOC__
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{{DISPLAYTITLE:lin2lm.m}} __NOTOC__
 
Converts linear indexing of spin states into L,M 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:  
 
Converts linear indexing of spin states into L,M 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:  
 
              
 
              

Revision as of 14:53, 28 December 2018

Converts linear indexing of spin states into L,M 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:

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

Syntax

    [L,M]=lin2lm(I)

Arguments

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

Outputs

    L   - ranks of the spin states

    M   - projections of the spin states

Notes

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

See also

lm2lin.m, lin2lmn.m, lmn2lin.m, irr_sph_ten.m


Version 2.3, authors: Ilya Kuprov