Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model

Abstract

In this article, we analyze the geometric phase concerning the Heisenberg ferromagnetic version with directional geometric flows of quasi binormal magnetic particles by applying the quasi frame in space. We illustrate that the evolution from Heisenberg ferromagnetic unit is connected with the Berry phase or more usually regarded as a geometric phase. Furthermore, we research several integrability circumstances with quasi fields. By way of this different approach, we get some express for the given particle with the phase. Finally, we provide some different constructions for quasi curvatures of the quasi binormal magnetic particles by Heisenberg ferromagnetic model and we have a total phase for some quasi fields.