Angular momentum theory is applied to a fully three-dimensional model of supersymmetric quantum mechanics. The unique solution of the algebra is demonstrated and the matrix elements of the supersymmetric transformation operator are calculated so that the effect of such transformations on scattered states may be extracted. Comparison of the transformed and original states yields a relation between the phase shifts and mixing parameter for coupled states. This relation is tested against experimental N-N scattering data, but no evidence of supersymmetry is found. It is shown that the extra repulsive core in the supersymmetric potential is too soft;Angular momentum theory is also used to find the matrix elements so that Schrodinger's equation can be solved numerically for a supersymmetric potential including a tensor force term.