Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved analytical approximation to arbitrary l-state solutions of the
  Schrodinger equation for the hyperbolical potentials   A new approximation scheme to the centrifugal term is proposed to obtain the
$l\neq 0$ bound-state solutions of the Schr\"{o}dinger equation for an
exponential-type potential in the framework of the hypergeometric method. The
corresponding normalized wave functions are also found in terms of the Jacobi
polynomials. To show the accuracy of the new proposed approximation scheme, we
calculate the energy eigenvalues numerically for arbitrary quantum numbers $n$
and $l$ with two different values of the potential parameter
$\sigma_{\text{0}}.$ Our numerical results are of high accuracy like the other
numerical results obtained by using program based on a numerical integration
procedure for short-range and long-range potentials. The energy bound-state
solutions for the s-wave ($l=0$) and $\sigma_{0}=1$ cases are given.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin