Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $\kappa$-Dirac Oscillator revisited   This Letter is based on the $\kappa$-Dirac equation, derived from the
$\kappa$-Poincar\'{e}-Hopf algebra. It is shown that the $\kappa$-Dirac
equation preserves parity while breaks charge conjugation and time reversal
symmetries. Introducing the Dirac oscillator prescription,
$\mathbf{p}\to\mathbf{p}-im\omega\beta\mathbf{r}$, in the $\kappa$-Dirac
equation, one obtains the $\kappa$-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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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph