Optical Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves with geometric phase

Abstract

In this paper, we introduce the notion of the Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves by using the quasi-frame in the Minkowski space. Furthermore, we study some integrability conditions for quasi-frame fields. With this new concept, we derive the necessary and sufficient condition for the given curve to be the inextensible flow. Finally, we give some new characterizations for quasi-curvatures of the spacelike curve by Heisenberg ferromagnetic model and we obtain total phase for quasi-vector fields. © 2019, Indian Association for the Cultivation of Science.