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In this article the classical, relativistic Lagrangian based on the isotropic fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is considered. The motion of the associated classical particle in an external…

高能物理 - 理论 · 物理学 2015-05-13 M. Schreck

In the current paper, we construct a Lorentz-violating electrodynamics in (1+2) spacetime dimensions from the electromagnetic sector of the nonminimal Standard-Model Extension (SME) in (1+3) dimensions. Subsequently, we study some of the…

高能物理 - 理论 · 物理学 2019-12-04 Manoel M. Ferreira , João A. A. S. Reis , Marco Schreck

We propose a new relativistic Lorentz-invariant spin-noncommutative algebra. Using the Weyl ordering of noncommutative position operators, we build an analogue of the Moyal-Groenewald product for the proposed algebra. The Lagrange function…

高能物理 - 理论 · 物理学 2016-11-02 V. M. Vasyuta , V. M. Tkachuk

We investigate the Raychaudhuri dynamics of charged spin--nondegenerate Lorentz--violating particle congruences under minimal electromagnetic coupling. The coupling is introduced through the gauge--covariant momentum…

广义相对论与量子宇宙学 · 物理学 2026-05-13 A. A. Araújo Filho , A. F. Santos , J. A. A. S. Reis , L. Lisboa-Santos , V. B. Bezerra

We derive the classical dynamics of massless charged particles in a rigorous way from first principles. Since due to ultraviolet divergences this dynamics does not follow from an action principle, we rely on a) Maxwell's equations, b)…

高能物理 - 理论 · 物理学 2015-06-19 Kurt Lechner

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

数学物理 · 物理学 2010-02-17 D. M. Gitman , V. G. Kupriyanov

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

高能物理 - 理论 · 物理学 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

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…

高能物理 - 理论 · 物理学 2025-04-15 Jan W. van Holten

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

量子物理 · 物理学 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

高能物理 - 理论 · 物理学 2008-02-03 Manoelito M. de Souza

In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the…

介观与纳米尺度物理 · 物理学 2020-02-24 Rodrigo Turcati , Carlos Andres Bonilla Quintero , José Abdalla Helayël-Neto , Enrique Arias

Non-linear electrodynamic models are re-assessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we start off by presenting a general non-linear…

高能物理 - 理论 · 物理学 2021-07-14 M. J. Neves , Jorge B. de Oliveira , L. P. R. Ospedal , J. A. Helayël-Neto

Spin dynamics in spatially inhomogeneous magnetic fields is studied within the framework of Boltzmann theory. Stern-Gerlach-like separation of spin up and spin down electrons occurs in ballistic and diffusive regimes, before spin relaxation…

凝聚态物理 · 物理学 2007-05-23 Jaroslav Fabian , S. Das Sarma

In this work, we study the behavior of elementary electromagnetic sources, i.e., point-like electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show…

经典物理 · 物理学 2025-08-26 Ivanina Ilieva , Carsten Rockstuhl , Ivan Fernandez-Corbaton

We analyze the nonrelativistic quantum dynamics of a single neutral spin half particle, with non-zero magnetic and electric dipole moments, moving in an external electromagnetic field in presence of Lorentz symmetry violation background.…

高能物理 - 理论 · 物理学 2007-11-08 L. R. Ribeiro , E. Passos , C. Furtado , J. R. Nascimento

A new approach to classical electrodynamics is presented, showing that it can be regarded as a particular case of the most general relativistic force field. In particular, at first it is shown that the structure of the Lorentz force comes…

广义相对论与量子宇宙学 · 物理学 2009-07-14 Stefano Re Fiorentin

We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_\mu$ and $b_\mu$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic…

介观与纳米尺度物理 · 物理学 2025-10-29 Edilberto O. Silva

We present new results for classical-particle propagation subject to Lorentz violation. Our analysis is dedicated to spin-nondegenerate operators of arbitrary mass dimension provided by the fermion sector of the Standard-Model Extension. In…

高能物理 - 理论 · 物理学 2021-06-02 João A. A. S Reis , Marco Schreck

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Paolo Maraner

Effective dynamics of conduction electrons in antiferromagnetic (AFM) materials with slowly varying spin texture is developed via non-Abelian gauge theory. Quite different from the ferromagnetic (FM) case, the spin of a conduction electron…

介观与纳米尺度物理 · 物理学 2015-06-03 Ran Cheng , Qian Niu
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