Difference between revisions of "Lm2lin.m"
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| − | Converts L,M spin | + | {{DISPLAYTITLE:lm2lin.m}} __NOTOC__ |
| − | In the linear indexing convention, | + | 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 [[Appendix_B:_spin_state_indexing|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]] | ||
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| − | + | ''Version 2.3, authors: [[Ilya Kuprov]]'' | |
Revision as of 15:03, 28 December 2018
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
