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) …
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 …
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
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 …
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
solution of the D-dimensional (D≥ 2) hyperradial Schrödinger equation with the Kratzer and …