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The European Physical Journal C

, Volume 56, Issue 4, pp 597–606 | Cite as

Landau analog levels for dipoles in non-commutative space and phase space

Landau analog levels for dipoles
  • L. R. Ribeiro
  • E. Passos
  • C. FurtadoEmail author
  • J. R. Nascimento
Regular Article - Theoretical Physics

Abstract

We investigate the analog of Landau quantization, for a neutral polarized particle in the presence of homogeneous electric and magnetic external fields, in the context of non-commutative quantum mechanics. This particle, possessing electric and magnetic dipole moments, interacts with the fields via the Aharonov–Casher and He–McKellar–Wilkens effects. For this model we obtain the Landau energy spectrum and the radial eigenfunctions of the non-commutative space coordinates and non-commutative phase space coordinates. Also we show that the case of non-commutative phase space can be treated as a special case of the usual non-commutative space coordinates.

PACS

11.10.Nx 03.65.Vf 

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  • L. R. Ribeiro
    • 1
  • E. Passos
    • 1
  • C. Furtado
    • 1
    Email author
  • J. R. Nascimento
    • 1
    • 2
  1. 1.Departamento de FísicaUniversidade Federal da ParaíbaJoão PessoaBrasil
  2. 2.Instituto de FísicaUniversidade de São PauloSão PauloBrazil

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