Anomalous states from a classical Hamiltonian: Electric dipole in a magnetic field

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Resumen

In the present study, we obtain the equations of motion for an electric dipole in the presence of a uniform magnetic field, by the Lagrangian formulation. Solutions can be represented in terms of Jacobi functions. Thus, we identify two constants of motion, the energy ? and a pseudomomentum C→. We obtain a relation between the constants that suggests the existence of a type of bound states without turning points, which are called trapped states. The present results are complementary to other ones previously reported by Troncoso and Curilef [2006 Eur. J. Phys. 27 1315].

Idioma originalInglés
Título de la publicación alojadaProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditoresTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
EditorialAmerican Institute of Physics Inc.
ISBN (versión digital)9780735412873
DOI
EstadoPublicada - 10 mar. 2015
Publicado de forma externa
EventoInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Grecia
Duración: 22 sep. 201428 sep. 2014

Serie de la publicación

NombreAIP Conference Proceedings
Volumen1648
ISSN (versión impresa)0094-243X
ISSN (versión digital)1551-7616

Conferencia

ConferenciaInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
País/TerritorioGrecia
CiudadRhodes
Período22/09/1428/09/14

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