Narrow Results

In this paper, the generalized Dirac oscillator with $\kappa$-Poincaré algebra is structured by replacing the momentum operator p with $p-im\omega \beta V(r)r$ in $\kappa$-deformation Dirac equation. The deformed radial equation is derived for this model. Particularly, by solving the deformed radial equation, the wave functions and energy spectra which depend on deformation parameter $𝜀$ have been obtained for these quantum systems with $V(r)$ being a Yukawa-type potential, inverse-square-type singular potential and central fraction power singular potential in two-dimensional space, respectively. The results show that the deformation parameter $𝜀$ can lead to decreasing of energy levels for the above quantum systems. At the same time, the degeneracy of energy spectra has been discussed and the corresponding conditions of degeneracy have been given for each case.