The 2D $\kappa$-Dirac oscillator

Abstract

In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the $\kappa$-Poincaré-Hopf algebra is considered. The problem is formulated using the $\kappa$-deformed Dirac equation. The resulting theory reveals that the energies and wave functions of the oscillator are modified by the deformation parameter.

4 pages, 2 figures, Accepted for publication in Physics Letters B

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Cited by in corpus (10)

• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Three-dimensional Dirac oscillator in a thermal bath
• On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
• Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• Effects of quantum deformation on the integer quantum Hall effect
• Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
• Kappa-deformed Dirac oscillator in an external magnetic field
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Reproducing the effects of quantum deformation in the undeformed Jaynes-Cummings model