Difference between revisions of "Lmn2lin.m"
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| − | Converts L,M,N Wigner | + | {{DISPLAYTITLE:lin2lmn.m}} __NOTOC__ |
| − | + | Converts L,M,N indices of Wigner D functions into linear indices. In the linear indexing convention, Wigner D functions are listed in the order of increasing L rank. Within each L, the functions are listed in the order of decreasing left index M, and, for each M, in the order of decreasing N index. One base counting is used: | |
| − | listed in the order of increasing L rank. Within each L | ||
| − | |||
| − | |||
| − | + | (L=0,M=0,N=0) -> I=1 | |
| + | (L=1,M=1,N=1) -> I=2 | ||
| + | (L=1,M=1,N=0) -> I=3, et cetera... | ||
| − | + | ==Syntax== | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | I=lmn2lin(L,M,N) | |
| + | |||
| + | ==Arguments== | ||
| + | |||
| + | L - ranks of Wigner D functions | ||
| + | |||
| + | M - row indices of Wigner D functions | ||
| + | |||
| + | N - column indices of Wigner D functions | ||
| + | |||
| + | ==Outputs== | ||
| + | |||
| + | I - linear indices of Wigner D functions, with | ||
| + | I=1 corresponding to L=0, M=0, N=0. | ||
| + | |||
| + | ==See also== | ||
| + | [[lin2lm.m]], [[lm2lin.m]], [[lin2lmn.m]], [[wigner.m]], [[dcm2wigner.m]], [[irr_sph_ten.m]] | ||
| + | |||
| + | |||
| + | ''Version 2.3, authors: [[Ilya Kuprov]]'' | ||
Revision as of 16:59, 28 December 2018
Converts L,M,N indices of Wigner D functions into linear indices. In the linear indexing convention, Wigner D functions are listed in the order of increasing L rank. Within each L, the functions are listed in the order of decreasing left index M, and, for each M, in the order of decreasing N index. One base counting is used:
(L=0,M=0,N=0) -> I=1
(L=1,M=1,N=1) -> I=2
(L=1,M=1,N=0) -> I=3, et cetera...
Syntax
I=lmn2lin(L,M,N)
Arguments
L - ranks of Wigner D functions
M - row indices of Wigner D functions
N - column indices of Wigner D functions
Outputs
I - linear indices of Wigner D functions, with
I=1 corresponding to L=0, M=0, N=0.
See also
lin2lm.m, lm2lin.m, lin2lmn.m, wigner.m, dcm2wigner.m, irr_sph_ten.m
Version 2.3, authors: Ilya Kuprov