Abstract
It is well known that the symmetry of Maxwell’s equations under the Poincaré group implies the existence of certain integral combinations of the vectors of the electric and magnetic field strengthes which are conserved in time. Here it is a question of the classical conservations laws of energy, momentum, angular momentum, and the center of energy of the electromagnetic field. The existence of conserved quantities (constants of motion) is a most important consequence of the invariance of the equations of motion under an algebra of operators (in this example the algebra of infinitesimal operators of the Poincaré group).
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Fushchich, W.I., Nikitin, A.G. (1987). Constants of Motion. In: Symmetries of Maxwell’s Equations. Mathematics and Its Applications, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3729-1_8
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DOI: https://doi.org/10.1007/978-94-009-3729-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8166-5
Online ISBN: 978-94-009-3729-1
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