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Open Quantum Systems Decoherence Quantum Simulation

On the κ-Dirac Oscillator revisited

arXiv

Authors: F. M. Andrade, E. O. Silva, M. M. Ferreira, E. C. Rodrigues

Year

2013

Paper ID

31494

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

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, mathbf{p}→mathbf{p}-imωβmathbf{r}, 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 varepsilon=0, one recovers the energy eigenvalues and eigenfunctions of the Dirac oscillator.

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This Letter is based on the κ-Dirac equation, derived from the κ-Poincaré-Hopf algebra.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.2973 [2] arXiv https://arxiv.org/abs/1312.2973 [3] Publisher https://arxiv.org/abs/1312.2973

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