Covariant formulation of classical electromagnetism
The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under Lorentz transformations, in the formalism of special relativity using rectilinear inertial coordinate systems. These expressions both make it simple to prove that the laws of classical electromagnetism take the same form in any inertial coordinate system, and also provide a way to translate the fields and forces from one frame to another. However, this is not as general as Maxwell's equations in curved spacetime or non-rectilinear coordinate systems.
Classical electromagnetismClassical electromagnetism and special relativityCovariant formulationCovariant formulation of classical EMElectromagnetic four-potentialElectromagnetic stress–energy tensorElectromagnetic tensorElectromagnetic wave equationElectromagnetismField (physics)Formulation of Maxwell's equations in special relativityFormulation of Maxwell equations in special relativityFour-currentGauss–Bonnet gravityIndex of physics articles (C)Inhomogeneous electromagnetic wave equationLorentz forceMagnetic monopoleMathematical descriptions of the electromagnetic fieldMaxwell's equationsMaxwell's equations in curved spacetimeMeasuring instrumentPhysical theories modified by general relativityRelativistic electromagnetismRiemann–Silberstein vectorTheoretical motivation for general relativity
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Covariant formulation of classical electromagnetism
The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under Lorentz transformations, in the formalism of special relativity using rectilinear inertial coordinate systems. These expressions both make it simple to prove that the laws of classical electromagnetism take the same form in any inertial coordinate system, and also provide a way to translate the fields and forces from one frame to another. However, this is not as general as Maxwell's equations in curved spacetime or non-rectilinear coordinate systems.
has abstract
La formulació covariant de l'e ...... s forces d'un marc a un altre.
@ca
Tensorowe równania Maxwella – wyrażenie równań Maxwella w szczególnej teorii względności.
@pl
The covariant formulation of c ...... netism and special relativity.
@en
古典電磁気学の共変定式(こてんでんじきがくのきょうへんていし ...... 気学と特殊相対論の間の関係のより一般的な概要については参照。
@ja
经典电磁理论的协变形式是指将经典的电磁学定律(主要包括馬克士 ...... 式;并且从头彻尾都使用了经典的张量代数以及爱因斯坦求和约定。
@zh
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La formulació covariant de l'e ...... s forces d'un marc a un altre.
@ca
Tensorowe równania Maxwella – wyrażenie równań Maxwella w szczególnej teorii względności.
@pl
The covariant formulation of c ...... ectilinear coordinate systems.
@en
古典電磁気学の共変定式(こてんでんじきがくのきょうへんていし ...... 気学と特殊相対論の間の関係のより一般的な概要については参照。
@ja
经典电磁理论的协变形式是指将经典的电磁学定律(主要包括馬克士 ...... 式;并且从头彻尾都使用了经典的张量代数以及爱因斯坦求和约定。
@zh
label
Covariant formulation of classical electromagnetism
@en
Formulació covariant de l'electrodinàmica clàssica
@ca
Tensorowe równania Maxwella
@pl
古典電磁気学の共変定式
@ja
经典电磁理论的协变形式
@zh