Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The generalized pseudospectral approach to the bound states of Hulthen
  and Yukawa potentials   The generalized pseudospectral method is employed to calculate the bound
states of Hulth\'en and Yukawa potentials in quantum mechanics, with special
emphases on higher excited states and stronger couplings. Accurate energy
eigenvalues, expectation values and radial probability densities are obtained
through a nonuniform and optimal spatial discretization of the radial
Schr\"odinger equation. Results accurate up to thirteen to fourteen significant
figures are reported for all the 55 eigenstates of both these potentials with
$n\leq$10 for arbitrary values of the screening parameters covering a wide
range of interaction. Furthermore, excited states as high as up to $n=17$ have
been computed with good accuracy for both these potentials. Excellent agreement
with the available literature data has been observed in all cases. The $n>6$
states of Yukawa potential has been considerably improved over all other
existing results currently available, while the same for Hulth\'en potential
are reported here for the first time. Excepting the $1s$ and $2s$ states of
Yukawa potential, the present method surpasses in accuracy all other existing
results in the stronger coupling region for all other states of both these
systems. This offers a simple and efficient scheme for the accurate calculation
of these and other screened Coulomb potentials.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess