New Heisenberg antiferromagnetic spin for quasi normal magnetic flows with geometric phase

Abstract

In this paper, we present a new geometric interpretation of the notion of the Heisenberg antiferromagnetic spin for quasi flows of normal magnetic particles with quasi frame in 3D space. Moreover, we investigate integrability conditions for quasi new frame fields. Therefore, we determine necessary and sufficient condition for given normal magnetic particles with flow in space. Additionally, we present some new constructions for evolution of particle by Heisenberg antiferromagnetic model and we give total magnetic phase for new quasi vector fields in 3D space. © 2021 World Scientific Publishing Company.