Gauge-invariant formulation of the electromagnetic interaction in Hamiltonian mechanics

Resultado de la investigación: Contribución a una revistaArtículo

2 Citas (Scopus)

Resumen

Making use of the fact that for an arbitrary autonomous mechanical system any constant of motion can be used as Hamiltonian, the equations of motion of a charged particle in an electromagnetic field are written in Hamiltonian form without introducing potentials for the electromagnetic field. It is shown that the Hamiltonian and the Poisson bracket obtained here coincide with those appearing in the standard Hamiltonian formulation.

Idioma originalInglés
Páginas (desde-hasta)88-92
Número de páginas5
PublicaciónRevista Mexicana de Fisica
Volumen50
N.º1
EstadoPublicada - feb 2004

Huella dactilar

electromagnetic interactions
electromagnetic fields
formulations
brackets
charged particles
equations of motion

Citar esto

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abstract = "Making use of the fact that for an arbitrary autonomous mechanical system any constant of motion can be used as Hamiltonian, the equations of motion of a charged particle in an electromagnetic field are written in Hamiltonian form without introducing potentials for the electromagnetic field. It is shown that the Hamiltonian and the Poisson bracket obtained here coincide with those appearing in the standard Hamiltonian formulation.",
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Gauge-invariant formulation of the electromagnetic interaction in Hamiltonian mechanics. / Torres del Castillo, G. F.

En: Revista Mexicana de Fisica, Vol. 50, N.º 1, 02.2004, p. 88-92.

Resultado de la investigación: Contribución a una revistaArtículo

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AB - Making use of the fact that for an arbitrary autonomous mechanical system any constant of motion can be used as Hamiltonian, the equations of motion of a charged particle in an electromagnetic field are written in Hamiltonian form without introducing potentials for the electromagnetic field. It is shown that the Hamiltonian and the Poisson bracket obtained here coincide with those appearing in the standard Hamiltonian formulation.

KW - Electromagnetic interaction

KW - Hamilton equations

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