A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles

Details A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles

1998-07-21

arxiv.org/abs/physics/9807032v1

J. Goem. Phys. 27 (1998) 49-64

Physics

Classical Physics

LATEX, 15 pages

Scientific paper

10.1016/S0393-0440(97)00065-X

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is used to derive the corresponding Hamiltonian formulation. For this purpose a Hamiltonian description of the theories derived from the second-order Lagrangian is presented. Unlike in the standard approach, the canonical momenta arising here are explicitely gauge-invariant and have a clear physical intepretation. The reduced symplectic form is equaivalent to the Souriau's form. This approach illustrates a new method of deriving equations of motion from field equations.

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