Hamiltonian density for a point charged particles system in special relativity

G. Ares De Parga, S. Domínguez-Hernández, E. Salinas-Hernández

Research output: Contribution to journalArticle

Abstract

© 2015 Physics Essays Publication. A special relativity action for a system of point charged particles is proposed with the particularity of being complete, covariant, and nonstandard; that is, by considering that the action is stationary with respect to small variations of the trajectories of the charges zl i and the electromagnetic potential Aa ?xb ?, the equations of motions for each particle including the selfforces and the Maxwell equations are deduced. Without using any constraint, a Hamiltonian density is obtained whose corresponding Hamilton equations describe the equations of motion including the self-forces and the Maxwell equations too.
Original languageAmerican English
Pages (from-to)550-560
Number of pages493
JournalPhysics Essays
DOIs
StatePublished - 1 Dec 2015

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