Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Studies on some singular potentials in quantum mechanics   A simple methodology is suggested for the efficient calculation of certain
central potentials having singularities. The generalized pseudospectral method
used in this work facilitates {\em nonuniform} and optimal spatial
discretization. Applications have been made to calculate the energies,
densities and expectation values for two singular potentials of physical
interest, {\em viz.,} (i) the harmonic potential plus inverse quartic and
sextic perturbation and (ii) the Coulomb potential with a linear and quadratic
term for a broad range of parameters. The first 10 states belonging to a
maximum of $\ell=8$ and 5 for (i) and (ii) have been computed with good
accuracy and compared with the most accurate available literature data. The
calculated results are in excellent agreement, especially in the light of the
difficulties encountered in these potentials. Some new states are reported here
for the first time. This offers a general and efficient scheme for calculating
these and other similar potentials of physical and mathematical interest in
quantum mechanics accurately.

26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc