Difference between revisions of "Mat2sphten.m"
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| − | Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine independent components. | + | {{DISPLAYTITLE:mat2sphten.m}} __NOTOC__ |
| + | Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine independent components. The conventions are matched to Equation (22) of the paper by Len Mueller (http://dx.doi.org/10.1002/cmr.a.20224). The components are listed in the following order: | ||
| − | + | rank 0: (0,0) | |
| + | rank 1: (1,1) (1,0) (1,-1) | ||
| + | rank 2: (2,2) (2,1) (2,0) (2,-1) (2,-2) | ||
| − | + | and are returned as coefficients in front of the corresponding irreducible spherical tensor operators returned by [[irr_sph_ten.m]] function. | |
| − | |||
| − | |||
| − | + | ==Syntax== | |
| − | + | [rank0,rank1,rank2]=mat2sphten(M) | |
| − | Outputs | + | ==Arguments== |
| + | |||
| + | M - 3x3 interaction tensor | ||
| + | |||
| + | ==Outputs== | ||
rank0 - a single number giving the coefficient of T(0,0) in | rank0 - a single number giving the coefficient of T(0,0) in | ||
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in the spherical tensor expansion. | in the spherical tensor expansion. | ||
| − | See | + | ==See also== |
| + | [[irr_sph_ten.m]], [[stevens.m]], [[pauli.m]], [[sphten2mat.m]], [[mat2axrh.m]] | ||
| + | |||
| + | |||
| + | ''Version 2.3, authors: [[Ilya Kuprov]]'' | ||
Revision as of 13:44, 27 December 2018
Converts a 3x3 interaction matrix into the irreducible spherical tensor notation: one rank 0 component, three rank 1 components and five rank 2 components to the total of nine independent components. The conventions are matched to Equation (22) of the paper by Len Mueller (http://dx.doi.org/10.1002/cmr.a.20224). The components are listed in the following order:
rank 0: (0,0) rank 1: (1,1) (1,0) (1,-1) rank 2: (2,2) (2,1) (2,0) (2,-1) (2,-2)
and are returned as coefficients in front of the corresponding irreducible spherical tensor operators returned by irr_sph_ten.m function.
Syntax
[rank0,rank1,rank2]=mat2sphten(M)
Arguments
M - 3x3 interaction tensor
Outputs
rank0 - a single number giving the coefficient of T(0,0) in
the spherical tensor expansion.
rank1 - a row vector with three numbers giving the coeffici-
ents of T(1,1), T(1,0) and T(1,-1) in the spherical
tensor expansion.
rank2 - a row vector with five numbers giving the coeffici-
ents of T(2,2), T(2,1), T(2,0), T(2,-1) and T(2,-2)
in the spherical tensor expansion.
See also
irr_sph_ten.m, stevens.m, pauli.m, sphten2mat.m, mat2axrh.m
Version 2.3, authors: Ilya Kuprov
