Open AccessGeneralized Dirac oscillator with κ-Poincaré algebra
Author(s) -
Jing Wu,
Chao-Yun Long,
Zheng-Xue Wu,
Zheng-Wen Long
Publication year - 2020
Publication title -
international journal of modern physics e
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.433
H-Index - 58
eISSN - 1793-6608
pISSN - 0218-3013
DOI - 10.1142/s0218301320500330
Subject(s) - degeneracy (biology) , yukawa potential , mathematical physics , dirac equation , dirac (video compression format) , physics , eigenvalues and eigenvectors , quantum mechanics , kepler problem , deformation (meteorology) , mathematics , bioinformatics , neutrino , biology , meteorology
In this paper, the generalized Dirac oscillator with [Formula: see text]-Poincaré algebra is structured by replacing the momentum operator p with [Formula: see text] in [Formula: see text]-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 [Formula: see text] have been obtained for these quantum systems with [Formula: see text] 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 [Formula: see text] 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.