dorsal/arxiv
View SchemaA Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles
| Authors | D. Chruscinski, J. Kijowski |
|---|---|
| Categories | |
| ArXiv ID | physics/9807032 |
| URL | https://arxiv.org/abs/physics/9807032 |
| DOI | 10.1016/S0393-0440(97)00065-X |
| Journal | J. Goem. Phys. 27 (1998) 49-64 |
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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"abstract": "New, gauge-independent, second-order Lagrangian for the motion of classical,\ncharged test particles is used to derive the corresponding Hamiltonian\nformulation. For this purpose a Hamiltonian description of the theories derived\nfrom the second-order Lagrangian is presented. Unlike in the standard approach,\nthe canonical momenta arising here are explicitely gauge-invariant and have a\nclear physical intepretation. The reduced symplectic form is equaivalent to the\nSouriau\u0027s form. This approach illustrates a new method of deriving equations of\nmotion from field equations.",
"arxiv_id": "physics/9807032",
"authors": [
"D. Chruscinski",
"J. Kijowski"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1016/S0393-0440(97)00065-X",
"journal_ref": "J. Goem. Phys. 27 (1998) 49-64",
"title": "A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles",
"url": "https://arxiv.org/abs/physics/9807032"
},
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