غیرهایزنبرگی

In this paper, the formulation of spin coherent state in the real parameter in SU(1,1) group is studied. This representation of the coherent state is used for measuring the integral path and its classical consequence in the physical system. Using the completeness relation of the coherent state, we derive a path integral expression for transition amplitude and in the classical limit, we solve the classical equation of motion. Then, Lagrangian, equations and dispersion relation describing one-dimensional exchange anisotropic Non-Heisenberg model in the Anti-ferromagnetic system for dipole branch are calculated.

We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We drive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters in general form and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitation from the ground state. In final, soliton solution for quadrupole branches for these linear equations obtained.