Difference between revisions of "Lin2lm.m"
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| − | Converts linear indexing | + | {{DISPLAYTITLE:lin2lm.m}} __NOTOC__ |
| − | the linear indexing convention, | + | 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 | + | |
| − | + | 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) | |
| − | + | ||
| − | + | ==Parameters== | |
| + | |||
| + | 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 [[Appendix_B:_spin_state_indexing|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]], [[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]]'' | |
Latest revision as of 19:38, 6 June 2026
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)
Parameters
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, 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
