Algebraic structure and squeezed state solutions of the XYZ antiferromagnetic Heisenberg model in an external magnetic field

On the linear spin-wave frame, the XYZ antiferromagnetic Heisenberg model in an external magnetic field is proposed to have an so(3,2) algebraic structure. The energy eigenvalues and the squeezed state solutions are obtained by making use of algebraic diagonalization. Some properties of the energy eigenvalues are investigated. The connection of the special two-mode harmonic oscillators with the model is also established.