dorsal/arxiv
View SchemaHamiltonian Structure for Classical Electrodynamics of a Point Particle
| Authors | Dariusz Chruscinski |
|---|---|
| Categories | |
| ArXiv ID | physics/9712014 |
| URL | https://arxiv.org/abs/physics/9712014 |
| DOI | 10.1016/S0034-4877(98)80181-X |
Abstract
We prove that, contrary to the common belief, the classical Maxwell electrodynamics of a point-like particle may be formulated as an infinite-dimensional Hamiltonian system. We derive well defined quasi-Hamiltonian which possesses direct physical interpretation being equal to the total energy of the composed (field + particle) system. The phase space of this system is endowed with an interesting symplectic structure. We prove that this structure is strongly non-degenerated and, therefore, enables one to define consistent Poisson bracket for particle's and field degrees of freedom. We stress that this formulation is perfectly gauge-invariant.
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"abstract": "We prove that, contrary to the common belief, the classical Maxwell\nelectrodynamics of a point-like particle may be formulated as an\ninfinite-dimensional Hamiltonian system. We derive well defined\nquasi-Hamiltonian which possesses direct physical interpretation being equal to\nthe total energy of the composed (field + particle) system. The phase space of\nthis system is endowed with an interesting symplectic structure. We prove that\nthis structure is strongly non-degenerated and, therefore, enables one to\ndefine consistent Poisson bracket for particle\u0027s and field degrees of freedom.\nWe stress that this formulation is perfectly gauge-invariant.",
"arxiv_id": "physics/9712014",
"authors": [
"Dariusz Chruscinski"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1016/S0034-4877(98)80181-X",
"title": "Hamiltonian Structure for Classical Electrodynamics of a Point Particle",
"url": "https://arxiv.org/abs/physics/9712014"
},
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