Geometric phases for pseudo-hyperbolic magnetic particles with ferromagnetic media

Abstract

AbstractIn this study, we analyze the electromagnetic parameters and associated geometric phases of a magnetic particle moving in pseudo-hyperbolic space associated with Minkowski 3-space. To do this, we make use of curves representing the trajectories of electromagnetic waves, the electric and the magnetic field equations, and in particular the Heisenberg equations (ferromagnetic spin chain) that serve spin wave theory. First of all, we obtain the Lorentz forces and magnetic fields of these magnetic particles, which we call pseudo-hyperbolic (p-hyperbolic) magnetic particles. Next, we calculate electric fields and power flows with the help of the equation relating Lorentz and Newtonian forces. We then characterize some geometric phases of these power flows, which give data on energy density and magnitude. Finally, we characterize the geometric phases of a power flow in a ferromagnetic media with the help of the ferromagnetic Heisenberg model. We also give simulations of Heisenberg ferromagnetic power flows, including observations of the results obtained at the end of this section.Keywords: Spin wave theoryelectromagnetismenergy densityferromagnetic modelgeometric phaseEinstein universeMATHEMATICS SUBJECT CLASSIFICATIONS: 53A0476B4734A34PACS: 03.50.De04.20.-q02.40.-k Disclosure statementNo potential conflict of interest was reported by the author(s).Ethical ApprovalThis paper does not require ethical approval or any special approval.Availability of data and materialsData set sharing is not applicable for this paper, as there is no data set created or analyzed during the paper.