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Title: | Relativistic quantum dynamics of a neutral particle in external electric fields: an approach on effects of spin |
Keywords: | Self-adjoint extension Aharonov–Casher effect Landau levels Physical regularization Extensão auto-adjunta Efeito Aharonov-Casher Regularização física Níveis de Landau |
Issue Date: | Nov-2015 |
Publisher: | Elsevier |
Citation: | AZEVEDO, F. S. et al. Relativistic quantum dynamics of a neutral particle in external electric fields: an approach on effects of spin. Annals of Physics, New York, v. 362, p. 196-207, Nov. 2015. |
Abstract: | The planar quantum dynamics of a spin-1/2 neutral particle interacting with electrical fields is considered. A set of first order differential equations is obtained directly from the planar Dirac equation with nonminimum coupling. New solutions of this system, in particular, for the Aharonov–Casher effect, are found and discussed in detail. Pauli equation is also obtained by studying the motion of the particle when it describes a circular path of constant radius. We also analyze the planar dynamics in the full space, including the r=0 region. The self-adjoint extension method is used to obtain the energy levels and wave functions of the particle for two particular values for the self-adjoint extension parameter. The energy levels obtained are analogous to the Landau levels and explicitly depend on the spin projection parameter. |
URI: | http://www.sciencedirect.com/science/article/pii/S0003491615003024 http://repositorio.ufla.br/jspui/handle/1/13428 |
Appears in Collections: | DFI - Artigos publicados em periódicos |
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