Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morse potential in relativistic contexts from generalized momentum
  operator, Pekeris approximation revisited and mapping   In this work we explore a generalization of the Dirac and Klein-Gordon (KG)
oscillators, provided with a deformed linear momentum inspired in nonextensive
statistics, that gives place to the Morse potential in relativistic contexts by
first principles. In the (1+1)-dimensional case the relativistic oscillators
are mapped into the quantum Morse potential. Using the Pekeris approximation,
in the (3+1)-dimensional case we study the thermodynamics of the S-waves states
(l=0) of the H2, LiH, HCl and CO molecules (in the non-relativistic limit) and
of a relativistic electron, where Schottky anomalies (due to the finiteness of
the Morse spectrum) and spin contributions to the heat capacity are reported.
By revisiting a generalized Pekeris approximation, we provide a mapping from
(3+1)-dimensional Dirac and KG equations with a spherical potential to an
associated one-dimensional Schr\"odinger-like equation, and we obtain the
family of potentials for which this mapping corresponds to a Schr\"odinger
equation with non-minimal coupling.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph