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The covariant motion of a classical point particle with magnetic moment in the presence of (external) electromagnetic fields is revisited. We are interested in understanding Lorentz force extension involving point particle magnetic moment…

Classical Physics · Physics 2018-01-17 Johann Rafelski , Martin Formanek , Andrew Steinmetz

We investigate relativistic quantum mechanics (RQM) for particles with arbitrary magnetic moment. We compare two well known RQM models: a) Dirac equation supplemented with an incremental Pauli term (DP); b) Klein-Gordon equations with full…

High Energy Physics - Phenomenology · Physics 2019-03-26 Andrew Steinmetz , Martin Formanek , Johann Rafelski

We study in the framework of relativistic quantum mechanics the evolution of a system of two Dirac neutrinos that mix with each other and have non-vanishing magnetic moments. The dynamics of this system in an external magnetic field is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Maxim Dvornikov , Jukka Maalampi

We develop a complete relativistic theory to describe the dynamics of electronic angular momentum including both spin (S) and orbital (L) contributions in magnetic systems. We start with the relativistic Dirac-Kohn-Sham Hamiltonian under…

Other Condensed Matter · Physics 2026-05-19 Subhadip Santra , Ritwik Mondal , Marco Berritta , Peter M. Oppeneer

In the paper a new class of exact localized solutions of Dirac's equation in the field of a circularly polarized electromagnetic wave and a constant magnetic field is presented. These solutions possess unusual properties and are applicable…

Mathematical Physics · Physics 2011-09-30 Boris V. Gisin

We study spin-flavor oscillations of Dirac neutrinos with mixing and having non-zero matrix of magnetic moments in magnetic fields of various configurations. We discuss constant transversal and twisting magnetic fields. To describe the…

High Energy Physics - Phenomenology · Physics 2011-06-16 Maxim Dvornikov

We review the application of the relativistic quantum mechanics method for the description of neutrino oscillations for the studies of spin-flavor oscillations in background matter under the influence of a plane electromagnetic wave. Basing…

High Energy Physics - Phenomenology · Physics 2021-10-15 Maxim Dvornikov

We look over recent developments on our understanding about relativistic matter under external electromagnetic fields and mechanical rotation. I review various calculational approaches for concrete physics problems, putting my special…

High Energy Physics - Phenomenology · Physics 2019-06-26 Kenji Fukushima

We have studied a relativistically covariant Stern-Gerlach (SG) experiment for a relativistic spin and a Dirac spin. We have obtained the relativistic spin in an arbitrary frame by using the classical spin dipole tensor, which gives the…

Quantum Physics · Physics 2013-10-04 Taeseung Choi , Yeong Deok Han

Interaction of magnetic moment of point particles with external electromagnetic fields experiences unresolved theoretical and experimental discrepancies. In this work we point out several issues within the relativistic quantum mechanics and…

High Energy Physics - Phenomenology · Physics 2023-10-10 Martin Formanek , Stefan Evans , Johann Rafelski , Andrew Steinmetz , Cheng-Tao Yang

Using a Dirac-matrix substitution rule, applied to the electric charge, the anomalous magnetic moments of fermions are incorporated in local form in the two-body relativistic wave equations of constraint theory. The structure of the…

High Energy Physics - Theory · Physics 2009-10-30 H. Jallouli , H. Sazdjian

We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincar\'e group. The particle case is meant to clarify some points…

High Energy Physics - Theory · Physics 2014-11-19 Dimitra Karabali , V. P. Nair

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

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

Tensor 50-component form of the first order relativistic wave equation for a particle with spin 2 and anomalous magnetic moment is extended to the case of an arbitrary curved space-time geometry. An additional parameter considered in the…

Mathematical Physics · Physics 2011-09-09 V. V. Kisel , E. M. Ovsiyuk , V. M. Red'kov

A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of…

Nuclear Theory · Physics 2017-05-30 Alexander J. Silenko

A crucial issue in relativistic plasma, particularly relevant in the astrophysical context, is the description of highly magnetized plasmas based on a covariant formulation of gyrokinetic dynamics. An interesting case in question is that in…

Plasma Physics · Physics 2007-05-23 Massimo Tessarotto , Claudio Cremaschini , Piero Nicolini , Alexei Beklemishev

The exact solution of the Dirac equation and the spectrum of electron quasi-energies in a superposition of the field of a circularly polarized electromagnetic wave and a homogeneous magnetic field parallel to the direction of wave…

Accelerator Physics · Physics 2007-05-23 R. A. Melikian , D. P. Barber

Spin-flavor oscillations of Dirac neutrinos in matter and a magnetic field are studied using the method of relativistic quantum mechanics. Using the exact solution of the wave equation for a massive neutrino, taking into account external…

High Energy Physics - Phenomenology · Physics 2012-02-13 Maxim Dvornikov

We obtain a relativistically covariant wave equation for neutrinos in dense matter and electromagnetic field, which describes both flavor oscillations and neutrino spin rotation. Using this equation we construct a quasi-classical theory of…

High Energy Physics - Phenomenology · Physics 2020-01-24 A. V. Chukhnova , A. E. Lobanov
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