Calculating the propagation energy of the spin wave according to the Heisenberg model in ferromagnetic materials with spin S=3/2 in composite coordinates

Abstract

This research aims to find the propagation energy of spin waves in ferromagnetic materials according to the Heisenberg model with spin S=3/2 based on finding the appropriate wave  function in the complex system, then the hamiltonion and Lagrangian, and then dynamical equations that enable us to obtain  the energy levels if the magnons and their propagation speed .It also aims to Study of the effect of an external magnetic field of variable direction , constant intensity and a symmetry (anisotropy) on the magnons energy . It also aims to

Study the effect of the formed quadrupoles and octopoles on the conservation of the spin square .