Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

KJ Oyewumi, KD Sen - Journal of Mathematical Chemistry, 2012 - Springer
For arbitrary values n and ℓ quantum numbers, we present the solutions of the 3-
dimensional Schrödinger wave equation with the pseudoharmonic potential via the SU (1, 1) …

A general approach for the exact solution of the Schrödinger equation

C Tezcan, R Sever - International Journal of Theoretical Physics, 2009 - Springer
The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …

Bound state solutions of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential

CO Edet, US Okorie, AT Ngiangia, AN Ikot - Indian journal of Physics, 2020 - Springer
We obtained an approximate solution of the Schrodinger equation for the modified Kratzer
potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov …

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 …

[HTML][HTML] Arbitrary ℓ-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials

AI Ahmadov, M Demirci, SM Aslanova, MF Mustamin - Physics Letters A, 2020 - Elsevier
Focusing on an improved approximation scheme, we present how to treat the centrifugal
and the Coulombic behavior terms and then to obtain the bound state solutions of the Klein …

[HTML][HTML] Approximate bound state solutions of the Klein-Gordon equation with the linear combination of Hulthén and Yukawa potentials

AI Ahmadov, SM Aslanova, MS Orujova, SV Badalov… - Physics Letters A, 2019 - Elsevier
Based on a developed scheme we show how to deal with the centrifugal term and the
Coulombic behavior part and then to solve the Klein-Gordon (KG) equation for the linear …

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 …

Thermodynamic functions for diatomic molecules with modified Kratzer plus screened Coulomb potential

US Okorie, CO Edet, AN Ikot, GJ Rampho… - Indian Journal of …, 2021 - Springer
We have solved the Schrodinger equation with the modified Kratzer plus screened Coulomb
potential using the modified factorization method. We have also employed both the Greene …

Any l-state solutions of the Schrodinger equation interacting with Hellmann–Kratzer potential model

CO Edet, KO Okorie, H Louis, NA Nzeata-Ibe - Indian Journal of Physics, 2020 - Springer
The approximate analytical solutions of the radial Schrodinger equation have been obtained
with a newly proposed potential called Hellmann–Kratzer potential. The potential is a …

Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules

SM Ikhdair, R Sever - Journal of Mathematical Chemistry, 2009 - Springer
For arbitrary values of n and l quantum numbers, we present a simple exact analytical
solution of the D-dimensional (D≥ 2) hyperradial Schrödinger equation with the Kratzer and …