Annales de la Fondation Louis de Broglie Volume no

Louis Debroglie

Description

Niveau: Supérieur, Doctorat, Bac+8
Annales de la Fondation Louis de Broglie, Volume 28 no 2, 2003 261 On the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint Germain Rousseaux PMMH, UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin F-75231 - Paris Cdex 05, France E-mail: ABSTRACT. Based on an analogy between Fluid Mechanics and Elec- tromagnetism, we claim that the gauge conditions of Classical Electro- magnetism are not equivalent contrary to the common belief. These gauges are usually considered as mathematical conditions that one must specify in order to solve any electromagnetic problem. Here, the author shows that these conditions are physical constraints which can be interpreted as electromagnetic continuity equations. As a conse- quence, light cannot be considered as a pure transverse wave in vac- uum from the point of view of the potentials. We discuss the (lack of) meaning of gauge transformations. 1 Introduction In Classical Electromagnetism, the generalized momentum p of a particle with mass m and charge q moving at a velocity v in a vector potential A is [1] : p = mv + qA. Hence, the vector potential can be seen as the electromagnetic impulsion (per unit of charge) of the fleld. For example, induction phenomena are due to the transfer of momentum from the fleld to the charge via the vector potential.

• must specify


• incompressible °ow


• °ow while


• cannot describe


• classical electromagnetism


• gauge cannot


• coulomb gauge


• coulomb constraint


• limit


• generalized energy

Sujets

• Rousseau
• Louis-Victor de Broglie
• Classical electromagnetism
• Gauge fixing

Informations

• Publié par: profil-zyak-2012
• Nombre de lectures: 38
• Langue: English

Extrait

Annales de la Fondation Louis de Broglie, Volume 28 no 2, 2003

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Germain Rousseaux

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