A new approach to black hole quasinormal modes: a review of the asymptotic iteration method

HT Cho, AS Cornell, J Doukas… - Advances in …, 2012 - Wiley Online Library
We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic
iteration method (AIM), initially developed to solve second‐order ordinary differential …

Quasinormal modes of quantum-corrected black holes

H Gong, S Li, D Zhang, G Fu, JP Wu - Physical Review D, 2024 - APS
In this paper, we investigate the quasinormal mode (QNM) spectra for the scalar perturbation
over the quantum-corrected black hole (BH) known as the quantum Oppenheimer-Snyder …

The Nikiforov–Uvarov-Functional Analysis (NUFA) Method: A new approach for solving exponential-type potentials

AN Ikot, US Okorie, PO Amadi, CO Edet, GJ Rampho… - Few-Body Systems, 2021 - Springer
A new method for solving second order differential equation called “Nikiforov–Uvarov-
Functional-Analysis (NUFA) method is generalized. This method is employed to obtain the …

Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential

AN Ikot, US Okorie, R Sever, GJ Rampho - The European Physical …, 2019 - Springer
Within the framework of non-relativistic quantum mechanics via the Nikiforov-Uvarov (NU)
method, we obtained the energy eigenvalues and the corresponding normalized …

Testing general relativity with black hole quasi-normal modes

N Franchini, SH Völkel - Recent Progress on Gravity Tests: Challenges …, 2024 - Springer
The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-
normal modes and its capabilities to test general relativity in the 21st century. After …

Exact analytical solutions to the Kratzer potential by the asymptotic iteration method

O Bayrak, I Boztosun, H Ciftci - International Journal of …, 2007 - Wiley Online Library
For any n and l values, we present a simple exact analytical solution of the radial
Schrödinger equation for the Kratzer potential within the framework of the asymptotic …

Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of Diatomic Molecule

CO Edet, AN Ikot - Journal of Low Temperature Physics, 2021 - Springer
Abstract Confinement effects of Aharonov–Bohm (AB) flux and magnetic fields with
topological defect on CO CO diatomic molecule modeled by screened modified Kratzer …

Arbitrary -State Solutions of the Hyperbolical Potential by the Asymptotic Iteration Method

BJ Falaye - Few-Body Systems, 2012 - Springer
The asymptotic iteration method is employed to calculate the any ℓ-state solutions of the
Schrödinger equation with the hyperbolical potential by proper approximation to the …

Superradiance and stability of the regularized 4D charged Einstein-Gauss-Bonnet black hole

CY Zhang, SJ Zhang, PC Li, M Guo - Journal of High Energy Physics, 2020 - Springer
A bstract We investigated the superradiance and stability of the regularized 4D charged
Einstein-Gauss-Bonnet black hole which is recently inspired by Glavan and Lin [Phys. Rev …

Thermodynamic properties and the approximate solutions of the Schrödinger equation with the shifted Deng–Fan potential model

KJ Oyewumi, BJ Falaye, CA Onate… - Molecular …, 2014 - Taylor & Francis
With the introduction of a new improved approximation scheme (Pekeris-type
approximation) to deal with the centrifugal term, the energy eigenvalues and the wave …