Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution for a fermion in the background of a scalar inversely
  linear potential   The problem of a fermion subject to a general scalar potential in a
two-dimensional world is mapped into a Sturm-Liouville problem for nonzero
eigenenergies. The searching for possible bounded solutions is done in the
circumstance of power-law potentials. The normalizable zero-eigenmode solutions
are also searched. For the specific case of an inversely linear potential,
which gives rise to an effective Kratzer potential, exact bounded solutions are
found in closed form. The behaviour of the upper and lower components of the
Dirac spinor is discussed in detail and some unusual results are revealed.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph