One-dimensional anisotropic Heisenberg ferromagnet with spin of S=2

Full text: Ferromagnetic is a kind of magnetic when we put within the external magnetic fields, its magnetic permeability can get significant value. They have remanent magnetization by the absence of external magnetic field. In this case we can accept or imagine them as constant magnetic. The model of Heisenberg is a good tool for studying the properties of ferromagnetic. For low temperatures from temperature of Cure in the magnetic the direction of all spins will get parallel sense. For the description the behaviour of a systems with lot of bodies, in our case - strong magnetism of the matter, necessary define explicit y type of Hamiltonian of systems. In quantum theory of strong magnetism enough the general counting the following formulation of problem. Let: 1). the certain sort of atoms from the consist the crystal, and the electrons configuration of empty (inner) shells of atoms and their inter bond (outer) of shells in the free (roomy) position. 2). the certain external forces that cat to the system. 3). setting distribution atoms by site of crystal lattice. 4). lattice counting ordered. We can imagine, that the magnetic as a system which consist from spins in the crystal lattice. The investigation properties of non-linear ferromagnetic to non-deferential equations bring us like non-linear equation of S G. For the studying the properties of ferromagnetic we need to write the exactly form of Hamiltonian. Nobody still hasn't done a good theoretical investigation for the spin of magnetic more than S>3/2. The theoretical investigation of ferromagnetic with spin of S=2 in the various spaces SU (3), SU (4) can give a good information about the reduction of spins, which exist 2 S + 1 quantum state, and the all feasible transition between spins' state of ions describes polarized algebra's operators SU(2 S + 1).