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Asymptotic iteration method for solving Hahn difference equations [PDF]

open access: yesAdvances in Difference Equations, 2021
Hahn’s difference operator D q ; w f ( x ) = ( f ( q x + w ) − f ( x ) ) / ( ( q − 1 ) x + w ) $D_{q;w}f(x) =({f(qx+w)-f(x)})/({(q-1)x+w})$ , q ∈ ( 0 , 1 ) $q\in (0,1)$ , w > 0 $w>0$ , x ≠ w / ( 1 − q ) $x\neq w/(1-q)$ is used to unify the recently ...
Lucas MacQuarrie   +2 more
doaj   +5 more sources

The asymptotic iteration method revisited [PDF]

open access: yesJournal of Mathematical Physics, 2020
The asymptotic iteration method is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems that frequently appear in theoretical and mathematical physics. The analysis and mathematical justifications of the success and failure of the asymptotic iteration method are ...
Mourad E H Ismail, Nasser Saad
exaly   +3 more sources

Asymptotic Iteration Method in Single and Multilayered Quantum Dots

open access: yesJournal of Scientific Research in Science, 2022
The asymptotic iteration method (AIM) has been applied to calculate the ground state and binding energy of an impurity located at the center of a single and multilayered spherical quantum dot.Regarding the single quantum dot (QD) the results obtained for
Heba Sabry Fahim
doaj   +2 more sources

Asymptotic iteration and variational methods for Gaussian potential [PDF]

open access: yesPramana - Journal of Physics, 2019
8 pages, 2 tables, Accepted publication in Pramana Journal of ...
Halil Mutuk
exaly   +3 more sources

Supersymmetric solution of Schrödinger equation by using the asymptotic iteration method

open access: yesAnnalen Der Physik, 2012
AbstractIn this work, the exact analytical solutions of the radial Schrödinger equation are presented for the harmonic oscillator, Hulthén and Pöschl‐Teller potentials within the framework of the asymptotic iteration method by using supersymmetry. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically.
Orhan Bayrak, İsmail Boztosun
exaly   +5 more sources

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

open access: yesJournal of Taibah University for Science, 2020
Bound state solutions of a quantum Dirac particle with a tensor interactions terms are investigated by Asymptotic Iteration Method. The eigenvalues are calculated for tensor potentials and formulated into closed forms.
K. S. Alsadi
doaj   +2 more sources

A discrete and q asymptotic iteration method [PDF]

open access: yesJournal of Difference Equations and Applications, 2020
We introduce a finite difference and $q$-difference analogues of the Asymptotic Iteration Method of Ciftci, Hall, and Saad. We give necessary, and sufficient condition for the existence of a polynomial solution to a general linear second-order difference or $q$-difference equation subject to a "terminating condition", which is precisely defined. When a
Mourad E. H. Ismail, Nasser Saad
openaire   +2 more sources

Quasinormal Modes of a Charged Black Hole with Scalar Hair

open access: yesUniverse, 2023
Based on the five-dimensional Einstein–Maxwell theory, Bah et al. constructed a singularity-free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)].
Wen-Di Guo, Qin Tan
doaj   +1 more source

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