A gauge-invariant Hamiltonian description of the motion of charged test particles

DOI10.1016/S0393-0440(97)00065-XzbMath0935.70015arXivphysics/9807032WikidataQ115597525 ScholiaQ115597525MaRDI QIDQ1299226

Dariusz Chruściński, Jerzy Kijowski

Publication date: 26 April 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9807032

zbMATH Keywords

electromagnetic fieldparticle trajectoriesLegendre transformationcharacteristic curvesgauge-invariant canonical momentagauge-invariant Lagrangianpre-symplectic form on evolution space

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Motion of charged particles (78A35) Equations of motion in general relativity and gravitational theory (83C10) Variational principles of physics (49S05)

Related Items (1)

Regularization as quantization in reducible representations of CCR

Cites Work

• A symplectic framework for field theories
• Variational principle for electrodynamics of moving particles
• Equations of motion from field equations and a gauge-invariant variational principle for the motion of charged particles

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