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 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 tenror operators. Syntax:
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 Table 1 in http://dx.doi.org/10.1016/0022-2364(77)90011-7 (note that minus signs are absorbed into the coefficients in Spinach).