Supersymmetric analysis of a spin Hamiltonian model

The intertwining method has been applied to the effective potential of the spin Hamiltonian H=−γSz2−BSx. The supersymmetric partner potentials, some of which are singular, are obtained by using low-lying states of this potential. Applying the intertwining method successively, hierarchy of effective potentials has been established. Supersymmetric partner of the transformed spin Hamiltonian's effective potential has also been constructed.