Unified evolution of electromagnetic sources in homogeneous fields

In this work, we study the behavior of elementary electromagnetic sources, i.e., pointlike electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show that the respective evolution equations for both kinds of so...

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Main Authors: Ivanina Ilieva, Carsten Rockstuhl, Ivan Fernandez-Corbaton
Format: Article
Language:English
Published: American Physical Society 2025-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/s7xn-nftt
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author Ivanina Ilieva
Carsten Rockstuhl
Ivan Fernandez-Corbaton
author_facet Ivanina Ilieva
Carsten Rockstuhl
Ivan Fernandez-Corbaton
author_sort Ivanina Ilieva
collection DOAJ
description In this work, we study the behavior of elementary electromagnetic sources, i.e., pointlike electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show that the respective evolution equations for both kinds of sources can be formulated using a single Lorentz-like transformation with suitably adjusted parameters, thereby unifying the fundamental behavior of these intrinsic particle properties. We arrive at this description by expressing the evolution of the electric sources, governed by the Lorentz force, as a series of infinitesimal boosts and rotations acting on them, with the electric and magnetic field as the corresponding parameters. Upon suitable adjustments, we find a new effective Lorentz-like transformation, applicable to both electric and magnetic sources. We provide the results using both the tensorial and pseudovector representation of the magnetic sources. Finally, we obtain a nonrelativistic limit of the evolution equation for magnetic sources.
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institution Kabale University
issn 2643-1564
language English
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publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-352fc0aa89e649a19cca8dede8b9afbf2025-08-20T03:30:49ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303308610.1103/s7xn-nfttUnified evolution of electromagnetic sources in homogeneous fieldsIvanina IlievaCarsten RockstuhlIvan Fernandez-CorbatonIn this work, we study the behavior of elementary electromagnetic sources, i.e., pointlike electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show that the respective evolution equations for both kinds of sources can be formulated using a single Lorentz-like transformation with suitably adjusted parameters, thereby unifying the fundamental behavior of these intrinsic particle properties. We arrive at this description by expressing the evolution of the electric sources, governed by the Lorentz force, as a series of infinitesimal boosts and rotations acting on them, with the electric and magnetic field as the corresponding parameters. Upon suitable adjustments, we find a new effective Lorentz-like transformation, applicable to both electric and magnetic sources. We provide the results using both the tensorial and pseudovector representation of the magnetic sources. Finally, we obtain a nonrelativistic limit of the evolution equation for magnetic sources.http://doi.org/10.1103/s7xn-nftt
spellingShingle Ivanina Ilieva
Carsten Rockstuhl
Ivan Fernandez-Corbaton
Unified evolution of electromagnetic sources in homogeneous fields
Physical Review Research
title Unified evolution of electromagnetic sources in homogeneous fields
title_full Unified evolution of electromagnetic sources in homogeneous fields
title_fullStr Unified evolution of electromagnetic sources in homogeneous fields
title_full_unstemmed Unified evolution of electromagnetic sources in homogeneous fields
title_short Unified evolution of electromagnetic sources in homogeneous fields
title_sort unified evolution of electromagnetic sources in homogeneous fields
url http://doi.org/10.1103/s7xn-nftt
work_keys_str_mv AT ivaninailieva unifiedevolutionofelectromagneticsourcesinhomogeneousfields
AT carstenrockstuhl unifiedevolutionofelectromagneticsourcesinhomogeneousfields
AT ivanfernandezcorbaton unifiedevolutionofelectromagneticsourcesinhomogeneousfields