# Sphten2mat.m

From Spinach Documentation Wiki

Converts the nine components of the irreducible spherical tensor representation of an interaction tensor into the Cartesian representation with a 3x3 matrix.

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 tenror operators. 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.

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).