One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model

We consider a one-magnon system in an isotropic non-Heisenberg impurity model with an arbitrary spin and investigate the spectrum and the localized impurity states of the system on the $\nu$-dimensional integer lattice $Z^{\nu}$. We show that there are at most three types of localized impurity states (not counting the degeneracy multiplicities of their energy levels) in this system. We find the domains of these states and calculate the degeneracy multiplicities of their energy levels.