Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator
  under an external magnetic field in the presence of a minimal length   Generalized uncertainty principle puts forward the existence of the shortest
distances and/or maximum momentum at the Planck scale for consideration. In
this article, we investigate the solutions of a two-dimensional
Duffin-Kemmer-Petiau (DKP) oscillator within an external magnetic field in a
minimal length (ML) scale. First, we obtain the eigensolutions in ordinary
quantum mechanics. Then, we examine the DKP oscillator in the presence of an ML
for the spin-zero and spin-one sectors. We determine an energy eigenvalue
equation in both cases with the corresponding eigenfunctions in the
non-relativistic limit. We show that in the ordinary quantum mechanic limit,
where the ML correction vanishes, the energy eigenvalue equations become
identical with the habitual quantum mechanical ones. Finally, we employ the
Euler-Mclaurin summation formula and obtain the thermodynamic functions of the
DKP oscillator in the high-temperature scale.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ