A new optical Heisenberg ferromagnetic model for optical directional velocity magnetic flows with geometric phase

Abstract

In this work, we first present the theory of Heisenberg ferromagnetic model of directional velocity magnetic flows of particles with the help of the quasi-frame in ordinary space. Afterward, we give new integrability conditions of directional velocity magnetic flows by using quasi-frame fields. Additionally, we derive the total phase for quasi-vector fields. Finally, we obtain new constructions for quasi-curvatures of directional velocity magnetic flows by Heisenberg ferromagnetic model. © 2019, Indian Association for the Cultivation of Science.