Artículos de revistas
Gauge-invariant formulation of the electromagnetic interaction in hamiltonian mechanics
Autor
TORRES DEL CASTILLO, G. F.
Institución
Resumen
HACIENDO USO DEL HECHO DE QUE PARA UN SISTEMA MECÁNICO AUTÓNOMO ARBITRARIO CUALQUIER CONSTANTE DE MOVIMIENTO PUEDE USARSE COMO HAMILTONIANA, LAS ECUACIONES DE MOVIMIENTO DE UNA PARTÍCULA CARGADA EN UN CAMPO ELECTROMAGNÉTICO SE ESCRIBEN EN FORMA HAMILTONIANA SIN INTRODUCIR POTENCIALES PARA EL CAMPO ELECTROMAGNÉTICO. SE MUESTRA QUE LA HAMILTONIANA Y EL PARÉNTESIS DE POISSON OBTENIDOS AQUÍ COINCIDEN CON LOS QUE APARECEN EN LA FORMULACIÓN HAMILTONIANA ESTÁNDAR.AbstractMAKING 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. 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.