Difference between revisions of "Lin2lm.m"

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Converts linear indexing state specification to L,M indexing. In
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{{DISPLAYTITLE:function.m}} __NOTOC__
the linear indexing convention, the states are listed in the order
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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:
of increasing L rank, and, within ranks, in the order of decreas-
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ing M projection. Syntax: [L,M]=lin2lm(I)
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                  I=0 -> (L=0,M=0)
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                  I=1 -> (L=1,M=1)
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                  I=2 -> (L=1,M=0), et cetera...
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==Syntax==
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    [L,M]=lin2lm(I)
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==Arguments==
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    I  - linear indices of spin states, with
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          I=0 corresponding to L=0, M=0.
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==Outputs==
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    L  - ranks of the spin states
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    M  - projections of the spin states
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==Notes==
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See the [[Appendix_B:_spin_state_indexing|state indexing]] section for further information about how ''Spinach'' enumerates spherical tensor states.
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==See also==
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[[lm2lin.m]], [[lin2lmn.m]], [[lmn2lin.m]], [[irr_sph_ten.m]]
  
WARNING - zero base indexing, that is:
 
           
 
                          I=0 -> (L=0,M=0)
 
                          I=1 -> (L=1,M=1)
 
                          I=2 -> (L=1,M=0), et cetera...
 
  
Arrays of any dimension are accepted as arguments.
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''Version 2.3, authors: [[Ilya Kuprov]]''

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