Sphten2mat.m

Converts the nine components of the irreducible spherical tensor representation of an interaction tensor into the Cartesian representation with a 3x3 matrix. The conventions are matched to Equation (18) of the paper by Len Mueller (http://dx.doi.org/10.1002/cmr.a.20224).

Spherical tensor components should be 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 should be supplied as coefficients in front of the corresponding irreducible spherical tensor operators returned by irr_sph_ten.m function.

Syntax

    M=sphten2mat(rank0,rank1,rank2)

Parameters

    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.

Outputs

    M          - 3x3 interaction tensor

See also

irr_sph_ten.m, pauli.m, mat2sphten.m, wigner.m, stevens.m

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

Version 2.8, authors: Ilya Kuprov