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

D. Chruscinski·J. Kijowski
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Abstract

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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D. Chruscinski, J. Kijowski. 1998-07-21. A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles. https://doi.org/10.1016/s0393-0440(97)00065-x

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