Bound state solutions of the Hulthén potential by using the asymptotic iteration method

O Bayrak, I Boztosun - Physica Scripta, 2007 - iopscience.iop.org
We present very accurate values for the bound state energy eigenvalues by solving the
radial Schrödinger equation for the Hulthén potential within the framework of the asymptotic …

Asymptotic study to the N-dimensional radial Schrödinger equation for the quark-antiquark system

R Kumar, F Chand - Communications in Theoretical Physics, 2013 - iopscience.iop.org
Here an asymptotic study to the N-dimensional radial Schrödinger equation for the quark-
antiquark interaction potential employing asymptotic iteration method via an ansatz to the …

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 …

Any -state solutions of the Eckart potential via asymptotic iteration method

BJ Falaye - Central European Journal of Physics, 2012 - Springer
The asymptotic iteration method is employed to calculate the any ℓ-state solutions of the
Schrödinger equation with the Eckart potential by proper approximation of the centrifugal …

Approximate solutions of the Schrödinger equation with the generalized Morse potential model including the centrifugal term

LH Zhang, XP Li, CS Jia - International Journal of Quantum …, 2011 - Wiley Online Library
By using a new improved approximation scheme to deal with the centrifugal term, we solve
approximately the Schrödinger equation with the generalized Morse potentials for the …

Analytical solutions of the Bohr Hamiltonian with the Morse potential

I Boztosun, D Bonatsos, I Inci - Physical Review C—Nuclear Physics, 2008 - APS
Analytical solutions of the Bohr Hamiltonian are obtained in the γ-unstable case, as well as
in an exactly separable rotational case with γ≈ 0, called the exactly separable Morse (ES …

[HTML][HTML] On the solutions of the Schrödinger equation with 2nd Pöschl-Teller potentials

JM Martinez-Espinosa, RE Balderas-Navarro… - Results in Physics, 2024 - Elsevier
We delve into the intricacies of the hyperbolic Pöschl–Teller potential, often referred to as
the 2nd Pöschl–Teller potential (PTP), and explore its implications on the Schrödinger …

Regular and Jost states for the S-wave Manning–Rosen potential

B Khirali, AK Behera, J Bhoi… - Journal of Physics G …, 2019 - iopscience.iop.org
A regular solution for the Manning–Rosen potential is constructed by adapting the
differential equation approach to the problem. The Jost solution and the Jost function are …

Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential

I Inci, D Bonatsos, I Boztosun - Physical Review C—Nuclear Physics, 2011 - APS
Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been
obtained by using the asymptotic iteration method (AIM) for both γ-unstable and rotational …

Arbitrary/-state approximate solutions of the Hulthén potential through the exact quantization rule

WC Qiang, Y Gao, RS Zhou - Central European Journal of Physics, 2008 - Springer
In this paper, using the Exact Quantization Rule, we present approximate analytical
solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential …