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The general classical equation of spin motion is rigorously derived for a particle with electric and magnetic charges and dipole moments in electromagnetic fields. The equation describing the spin motion relative to the momentum direction…

High Energy Physics - Phenomenology · Physics 2024-09-25 Alexander J. Silenko

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin…

General Relativity and Quantum Cosmology · Physics 2008-08-12 I. B. Khriplovich

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. Covariant equations for this motion are demonstrated to possess pathological solutions, when treated nonperturbatively in…

High Energy Physics - Theory · Physics 2007-05-23 I. B. Khriplovich

The Hamiltonian formulation of the motion of a spinning relativistic particle in an external electromagnetic field is considered. The approach is based on the introduction of new coordinates and their conjugated momenta to describe the spin…

High Energy Physics - Theory · Physics 2014-11-18 M. Chaichian , R. Gonzalez Felipe , D. Louis Martinez

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The noncovariant spin formalism is crucial for the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

By means of the method of moving Frenet-Serret frame the set of equations of motion is derived for spinning particle in an arbitrary external field, which is determined by potential depending from both position and the state of movement, as…

Classical Physics · Physics 2016-01-08 Alexander N. Tarakanov

General classical equation of spin motion is explicitly derived for a particle with magnetic and electric dipole moments in electromagnetic fields. Equation describing the spin motion relatively the momentum direction in storage rings is…

High Energy Physics - Phenomenology · Physics 2013-11-12 Takeshi Fukuyama , Alexander J. Silenko

Based on the coupling between the spin of a particle and gravitoelectromagnetic field, the equation of motion of a spinning test particle in gravitational field is deduced. From this equation of motion, it is found that the motion of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ning Wu

We discuss the motion of electrically and magnetically charged particles in the electromagnetic swirling universe. We show that the equations of motion can be decoupled in the Hamilton-Jacobi formalism, revealing the existence of a fourth…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Rogério Capobianco , Betti Hartmann , Jutta Kunz

In this letter, we discuss the extension of Feynman's derivation of the equation of motion to the case of spinning particles. We show that a spinning particle interacts only with the electromagnetic and gravitational fields. In the absence…

High Energy Physics - Theory · Physics 2009-10-22 Chihong Chou

From the simple Lagrangian the equations of motion for the particle with spin are derived. The spin is shown to be conserved on the particle world-line. In the absence of a spin the equation coincides with that of a geodesic. The equations…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zafar Turakulov , Margarita Safonova

We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and classical dynamics is investigated. We…

High Energy Physics - Theory · Physics 2017-11-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

Klein-Gordon and Dirac equations are the motion equations for relativistic particles with spin 0 (so-called scalar particles) and 1/2 (electron/positron) respectively. For a free particle, the Dirac equation is derived from the Klein-Gordon…

General Physics · Physics 2009-11-16 Marie-Noëlle Célérier , Laurent Nottale

Electromagnetic particle is considered as appropriate particle solution of nonlinear electrodynamics. Mass, spin, charge, and dipole moment for the electromagnetic particle are defined. Classical motion equations for massive charged…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Chernitskii

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

The classical dynamics of particles with (non-)abelian charges and spin moving on curved manifolds is established in the Poisson-Hamilton framework. Equations of motion are derived for the minimal quadratic Hamiltonian and some extensions…

High Energy Physics - Theory · Physics 2025-04-15 Jan W. van Holten

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

We study the motion of a charged particle with magnetic moment in external electromagnetic fields utilizing covariant unification of Gilbertian and Amperian descriptions of particle magnetic dipole moment. Considering the case of a current…

Classical Physics · Physics 2021-06-04 Martin Formanek , Andrew Steinmetz , Johann Rafelski

A technique for extracting from the appropriate field equations the relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles moving in external fields is motivated and illustrated. The key assumptions are that (a) the…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Peter A. Hogan
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