EQUATIONS OF MOTION FROM FIELD-EQUATIONS AND A GAUGE-INVARIANT VARIATIONAL PRINCIPLE FOR THE MOTION OF CHARGED-PARTICLES

Citation
D. Chruscinski et J. Kijowski, EQUATIONS OF MOTION FROM FIELD-EQUATIONS AND A GAUGE-INVARIANT VARIATIONAL PRINCIPLE FOR THE MOTION OF CHARGED-PARTICLES, Journal of geometry and physics, 20(4), 1996, pp. 391-401
Citations number
4
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
ISSN journal
03930440
Volume
20
Issue
4
Year of publication
1996
Pages
391 - 401
Database
ISI
SICI code
0393-0440(1996)20:4<391:EOMFFA>2.0.ZU;2-O
Abstract
New, gauge-independent, second-order Lagrangian for the motion of clas sical, charged test particles is proposed. It differs from the standar d, gauge-dependent, first-order Lagrangian by boundary terms only. A n ew method of deriving equations of motion from field equations is deve loped. When applied to classical electrodynamics, this method enables us to obtain unambiguously the above, second-order Lagrangian from the general energy-momentum conservation principle.