Effect of Thomas Rotation on the Lorentz Transformation of Electromagnetic fields.


Journal

Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288

Informations de publication

Date de publication:
26 Mar 2020
Historique:
received: 12 08 2019
accepted: 09 03 2020
entrez: 29 3 2020
pubmed: 29 3 2020
medline: 29 3 2020
Statut: epublish

Résumé

A relativistic particle undergoing successive boosts which are non collinear will experience a rotation of its coordinate axes with respect to the boosted frame. This rotation of coordinate axes is caused by a relativistic phenomenon called Thomas Rotation. We assess the importance of Thomas rotation in the calculation of physical quantities like electromagnetic fields in the relativistic regime. We calculate the electromagnetic field tensor for general three dimensional successive boosts in the particle's rest frame as well as the laboratory frame. We then compare the electromagnetic field tensors obtained by a direct boost [Formula: see text] and successive boosts [Formula: see text] and [Formula: see text] and check their consistency with Thomas rotation. This framework might be important to situations such as the calculation of frequency shifts for relativistic spin-1/2 particles undergoing Larmor precession in electromagnetic fields with small field non-uniformities.

Identifiants

pubmed: 32218444
doi: 10.1038/s41598-020-62082-z
pii: 10.1038/s41598-020-62082-z
pmc: PMC7099098
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

5522

Références

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Auteurs

Lakshya Malhotra (L)

University of Kentucky, Department of Physics and Astronomy, Lexington, Kentucky, 40508, USA. lakshya.malhotra@uky.edu.

Robert Golub (R)

North Carolina State University, Department of Physics, Raleigh, North Carolina, 27695, USA.

Eva Kraegeloh (E)

University of Michigan, Department of Physics, Ann Arbor, Michigan, 48109, USA.

Nima Nouri (N)

University of Kentucky, Department of Physics and Astronomy, Lexington, Kentucky, 40508, USA.
Center for Medical Informatics, Yale School of Medicine, New Haven, Connecticut, 06511, USA.
Center for Medical Informatics, Yale School of Medicine, New Haven, Connecticut, 06511, USA.
Department of Pathology, Yale School of Medicine, New Haven, Connecticut, 06511, USA.

Bradley Plaster (B)

University of Kentucky, Department of Physics and Astronomy, Lexington, Kentucky, 40508, USA.

Classifications MeSH