A comparative review of 50 analytical representation of potential energy interaction for diatomic systems: 100 years of history

JP Araújo, MY Ballester - International Journal of Quantum …, 2021 - Wiley Online Library
Interatomic potentials laid at the heart of molecular physics. They are a bridge between the
spectroscopic and structural properties of molecular systems. In this paper, a century‐old …

Analytical approximations to the solutions of the Manning–Rosen potential with centrifugal term

WC Qiang, SH Dong - Physics Letters A, 2007 - Elsevier
The bound state solutions of the Manning–Rosen potential with the centrifugal term are
presented approximately. It is shown that the solutions can be expressed by the generalized …

Analytical approximations to the l-wave solutions of the Schrödinger equation with the Eckart potential

SH Dong, WC Qiang, GH Sun… - Journal of Physics A …, 2007 - iopscience.iop.org
The bound-state solutions of the Schrödinger equation with the Eckart potential with the
centrifugal term are obtained approximately. It is shown that the solutions can be expressed …

Approximate eigenvalue solutions with diatomic molecular potential under topological defects and Aharonov-Bohm flux field: application for some known potentials

F Ahmed - Molecular Physics, 2022 - Taylor & Francis
In this paper, we determine the approximate eigenvalue bound state solution of the radial
Schrodinger equation in three-dimension in the presence of the Aharonov-Bohm flux field …

On the bound-state solutions of the Manning–Rosen potential including an improved approximation to the orbital centrifugal term

SM Ikhdair - Physica Scripta, 2011 - iopscience.iop.org
The approximate analytical bound-state solution of the Schrödinger equation for the
Manning–Rosen (MR) potential is found by taking a new approximation scheme to the …

Calculation of the interaction potential energy curve and vibrational levels for the a3Σu+ state of Li27 molecule

JY Liu, GD Zhang, CS Jia - Physics Letters A, 2013 - Elsevier
We solve the Schrödinger equation with the improved expression of the Manning–Rosen
empirical potential energy model. The rotation-vibrational energy spectra and the …

Bound state solutions of the Klein–Gordon equation with the improved expression of the Manning–Rosen potential energy model

CS Jia, T Chen, S He - Physics Letters A, 2013 - Elsevier
By employing the improved Greene–Aldrich approximation scheme to deal with the
centrifugal term, we solve approximately the Klein–Gordon equation with the improved …

Bound state solutions of the Manning–Rosen potential

BJ Falaye, KJ Oyewumi, TT Ibrahim… - Canadian Journal of …, 2013 - cdnsciencepub.com
Using the asymptotic iteration method (AIM), we have obtained analytical approximations to
the ℓ-wave solutions of the Schrödinger equation with the Manning–Rosen potential. The …

Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule

H Louis, BI Ita, NI Nzeata - The European Physical Journal Plus, 2019 - epjplus.epj.org
We obtained, by using the proper quantization rule, the approximate solutions of the
Schrödinger equation with Manning-Rosen plus Hellmann potential for any l-state …

Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules

XY Gu, SH Dong - Journal of mathematical chemistry, 2011 - Springer
The energy spectrum of the Manning-Rosen potential including centrifugal term in higher
dimensions is presented by exact quantization rule approach. The result is compared with …