mat2sphten.m

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

SU(2), SO(3), and other groups

Version 2.8, authors: Ilya Kuprov