Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave functions of a particle with polarizability in the Coulomb
  potential   Quantum mechanical scalar particle with polarizability is considered in the
presence of the Coulomb field. Separation of variables is performed with the
use of Wigner $D$-functions, the radial system of 15 equations is reduced to a
single second order differential equation, which among the Coulomb term
includes an additional interaction term of the form \sigma \alpha^{2} /
M^{2}r^{4}. Various physical regimes exist that is demonstrated by examining
the behavior of the curves of generalized squared radial momentum P^{2}(r).
Eigenstates of the equations can be constructed in terms of double confluent
Heun functions. Numerical analysis proves the existence of the bound states in
the system; the lowest energy level and corresponding solution are calculated
based on generalization of Ritz variational procedure.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn