Optical modeling of recursively antiferromagnetic flux with quantum system

Abstract

In this paper, we construct equations that help us calculate the energy of vector fields representing some flows described with the help of nonlinear optical systems in S-2 spherical space. For this, we make use of energy equations of a vector fields on a surface, which we obtain by describing the flow motion as the time-dependent change of position. Geometrically, the wave propagation in an electromagnetic media can represent the help of a curve representing the trajectory of the magnetic field. Considering an antiferromagnetic flux in this manner, the Heisenberg antiferromagnet (anti-f-magnetic) spin wave equation provides soliton solutions for the electrodynamic systems, spin wave theory and optical systems. In this study, we obtain the energy equations of a magnetic flux with Heisenberg anti-ferromagnet spin wave chain, taking into account the viscosity effect. Here, we also present an example of energy calculations in recursive systems with the help of the energy equation of a chosen recursive vector field representing the magnetic flux.