In this study, a diatomic molecule interacting potential such as the deformed Schiöberg
oscillator (DSO) have been applied to diatomic systems. By solving the Schrödinger …

It is found that the Manning–Rosen potential, Schiöberg potential and Deng–Fan potential
are the same solvable empirical potential energy function for diatomic molecules. We …

The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained.
The position S x and momentum S p Shannon information entropies for the low-lying states …

We present bound state solutions of the Dirac equation with the improved Rosen-Morse
potential energy model. In the non-relativistic limit, the relativistic energy equation becomes …

The Shannon entropy (S) and the Fisher Information (I) entropies are investigated for a
generalized hyperbolic potential in position and momentum spaces. First, the Schrodinger …

Bound‐state spectra of shifted Deng‐Fan oscillator potential are studied by means of a
generalized pseudospectral method. Very accurate results are obtained for both low as well …

The Schrödinger equation with hyperbolic potential V (x)=− V 0 sinh 2q (x/d)/cosh 6 (x/d)(q=
0, 1, 2, 3) is studied by transforming it into the confluent Heun equation. We obtain general …

By approximating the centrifugal term in terms of a new approximation scheme, we solve the
Schrödinger equation with the arbitrary angular momentum for the Manning–Rosen …

By employing a new improved approximation scheme to deal with the centrifugal term and
pseudo-centrifugal term, we solve approximately the Dirac equation with the hyperbolic …

By using an improved new approximation scheme to deal with the centrifugal term, we
investigate the bound state solutions of the Schrödinger equation with the Hulthén potential …