On the κ-Dirac oscillator revisited

This Letter is based on the κ-Dirac equation, derived from the κ-Poincaré–Hopf algebra. It is shown that the κ-Dirac equation preserves parity while breaks charge conjugation and time reversal symmetries. Introducing the Dirac oscillator prescription, p→p−imωβr, in the κ-Dirac equation, one obtains...

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Bibliographic Details
Published in:Physics letters. B 2014-04, Vol.731, p.327-330
Main Authors: Andrade, F.M., Silva, E.O., Ferreira, M.M., Rodrigues, E.C.
Format: Article
Language:English
Subjects:
Breaking
Deformation
Dirac oscillator
Eigenfunctions
Eigenvalues
Elementary particles
Mathematical analysis
Oscillators
Preserves
κ-Poincaré–Hopf algebra
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Summary:This Letter is based on the κ-Dirac equation, derived from the κ-Poincaré–Hopf algebra. It is shown that the κ-Dirac equation preserves parity while breaks charge conjugation and time reversal symmetries. Introducing the Dirac oscillator prescription, p→p−imωβr, in the κ-Dirac equation, one obtains the κ-Dirac oscillator. Using a decomposition in terms of spin angular functions, one achieves the deformed radial equations, with the associated deformed energy eigenvalues and eigenfunctions. The deformation parameter breaks the infinite degeneracy of the Dirac oscillator. In the case where ε=0, one recovers the energy eigenvalues and eigenfunctions of the Dirac oscillator.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2014.02.054