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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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Lenguaje: | eng |
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2003
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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 |
record_format | invenio |
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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