Difference between revisions of "Lin2lm.m"
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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: | 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