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

  • Universidad Católica del Norte

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

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].

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735412873
DOIs
StatePublished - 10 Mar 2015
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: 22 Sep 2014 → 28 Sep 2014

Publication series

NameAIP Conference Proceedings
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Country/TerritoryGreece
CityRhodes
Period22/09/14 → 28/09/14

Keywords

  • Electric dipole
  • General physics
  • Lagrangian formulation

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