SPECTRA AND BOUND STATES OF THE ENERGY OPERATOR OF TWO-MAGNON SYSTEM IN A NON-HEISENBERG FERROMAGNET WITH ARBITRARY SPIN VALUES S AND NEAREST-NEIGHBOUR INTERACTIONS

摘要

We consider a two-magnon system in an isotropic Non-Heisenberg ferro-magnet with arbitrary spin values s and nearest-neighbor interactions in the v- dimensional lattice Z~v. Sand bound states of the system for all values of quasi momentum A, and for arbitrary value of lattice dimensionality v, and for all values of Hamiltonian parameters are investigated. We proved existence no more than 2v + 1 bound states of the system in the v- dimensional lattice.