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The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations

The covariance of the Maxwell equations (ME) is one of the cornerstone of the modern relativistic field theories. In this paper it is exactly proved that the usual ME with the 3-vectors of the electric and magnetic fields, E{bold} and B{bold} respectively, change their form upon the Lorentz transfor...

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Autor principal: Ivezic, T
Lenguaje:eng
Publicado: 2003
Materias:
Acceso en línea:http://cds.cern.ch/record/684658
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author Ivezic, T
author_facet Ivezic, T
author_sort Ivezic, T
collection CERN
description The covariance of the Maxwell equations (ME) is one of the cornerstone of the modern relativistic field theories. In this paper it is exactly proved that the usual ME with the 3-vectors of the electric and magnetic fields, E{bold} and B{bold} respectively, change their form upon the Lorentz transformations (LT). They do not change their form upon the standard transformations (ST) but, as shown here, the ST actually have nothing in common with the LT. The Lorentz invariant field equations are presented with the abstract tensors, the 4-vectors E^{a}and B^{a}. All quantities in these equations are defined without reference frames.
id cern-684658
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6846582019-09-30T06:29:59Zhttp://cds.cern.ch/record/684658engIvezic, TThe exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformationsGeneral Theoretical PhysicsThe covariance of the Maxwell equations (ME) is one of the cornerstone of the modern relativistic field theories. In this paper it is exactly proved that the usual ME with the 3-vectors of the electric and magnetic fields, E{bold} and B{bold} respectively, change their form upon the Lorentz transformations (LT). They do not change their form upon the standard transformations (ST) but, as shown here, the ST actually have nothing in common with the LT. The Lorentz invariant field equations are presented with the abstract tensors, the 4-vectors E^{a}and B^{a}. All quantities in these equations are defined without reference frames.EXT-2003-078oai:cds.cern.ch:6846582003-11-12
spellingShingle General Theoretical Physics
Ivezic, T
The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title_full The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title_fullStr The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title_full_unstemmed The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title_short The exact proof that Maxwell equations with the 3D E and B change their form upon the Lorentz transformations
title_sort exact proof that maxwell equations with the 3d e and b change their form upon the lorentz transformations
topic General Theoretical Physics
url http://cds.cern.ch/record/684658
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