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

2020 ◽  
Vol 14 (1) ◽  
pp. 1156-1163
Author(s):  
K. S. Alsadi
Keyword(s):  
Iteration Method ◽  
Bound State ◽  
Tensor Interaction ◽  
Dirac Particle ◽  
Asymptotic Iteration Method ◽  
Interaction Potentials

scholarly journals Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction

2012 ◽  
Vol 90 (7) ◽  
pp. 655-660 ◽  
Author(s):  
M. Hamzavi ◽  
S.M. Ikhdair
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Coulomb Potential ◽  
Iteration Method ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Asymptotic Iteration Method ◽  
Spin Orbit ◽  
Energy Eigenvalues ◽  
Energy Dependent

The exact Dirac equation for the energy-dependent Coulomb (EDC) potential including a Coulomb-like tensor (CLT) potential has been studied in the presence of spin and pseudospin symmetries with arbitrary spin–orbit quantum number, κ. The energy eigenvalues and corresponding eigenfunctions are obtained in the framework of the asymptotic iteration method. Some numerical results are obtained in the presence and absence of EDC and CLT potentials.

Nonrelativistic and relativistic bound state solutions of the molecular Tietz potential via the improved asymptotic iteration method

2014 ◽  
Vol 92 (3) ◽  
pp. 215-220 ◽  
Author(s):  
W.A. Yahya ◽  
K. Issa ◽  
B.J. Falaye ◽  
K.J. Oyewumi
Keyword(s):  
Iteration Method ◽  
Vibrational Energy ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Quantum Numbers ◽  
Approximate Analytical Solutions ◽  
Relative Closeness ◽  
Klein Gordon ◽  
Tietz Potential ◽  
Schrödinger System

We have obtained the approximate analytical solutions of the relativistic and nonrelativistic molecular Tietz potential using the improved asymptotic iteration method. By approximating the centrifugal term through the Greene–Aldrich approximation scheme, we have obtained the energy eigenvalues and wave functions for all orbital quantum numbers [Formula: see text]. Where necessary, we made comparison with the result obtained previously in the literature. The relative closeness of the two results reveal the accuracy of the method presented in this study. We proceed further to obtain the rotational-vibrational energy spectrum for some diatomic molecules. These molecules are CO, HCl, H2, and LiH. We have also obtained the relativistic bound state solution of the Klein−Gordon equation with this potential. In the nonrelativistic limits, our result converges to that of the Schrödinger system.

scholarly journals Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

2020 ◽  
Vol 45 (1) ◽  
pp. 65 ◽  
Author(s):  
Akpan Ndem Ikot ◽  
Uduakobong Okorie ◽  
Alalibo Thompson Ngiagian ◽  
Clement Atachegbe Onate ◽  
Collins Okon Edet ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Graphical Representation ◽  
Bound State ◽  
Confluent Hypergeometric Function ◽  
Asymptotic Iteration Method ◽  
Slope Parameter ◽  
Exact Bound ◽  
Energy Dependent

In this paper, we obtained the exact bound state energy spectrum of the Schrödinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM). The corresponding wave function expressed in terms of the confluent hypergeometric function was also obtained. As a special case, when the energy slope parameter in the energy-dependent molecular Kratzer potential is set to zero, then the well-known molecular Kratzer potential is recovered. Numerical results for the energy eigenvlaues are also obtained for different quantum states, in the presence and absence of the energy slope parameter. These results are discussed extensively using graphical representation. Our results are seen to agree with the results in literature.

scholarly journals Relativistic Energy Analysis of Five-Dimensionalq-Deformed Radial Rosen-Morse Potential Combined withq-Deformed Trigonometric Scarf Noncentral Potential Using Asymptotic Iteration Method

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Subur Pramono ◽  
A. Suparmi ◽  
Cari Cari
Keyword(s):  
Wave Function ◽  
Energy Level ◽  
Quantum Number ◽  
Iteration Method ◽  
Morse Potential ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Relativistic Energy ◽  
Radial Wave ◽  
Orbital Quantum Number

We study the exact solution of Dirac equation in the hyperspherical coordinate under influence of separableq-deformed quantum potentials. Theq-deformed hyperbolic Rosen-Morse potential is perturbed byq-deformed noncentral trigonometric Scarf potentials, where all of them can be solved by using Asymptotic Iteration Method (AIM). This work is limited to spin symmetry case. The relativistic energy equation and orbital quantum number equationlD-1have been obtained using Asymptotic Iteration Method. The upper radial wave function equations and angular wave function equations are also obtained by using this method. The relativistic energy levels are numerically calculated using Matlab, and the increase of radial quantum numberncauses the increase of bound state relativistic energy level in both dimensionsD=5andD=3. The bound state relativistic energy level decreases with increasing of both deformation parameterqand orbital quantum numbernl.

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

2007 ◽  
Vol 76 (1) ◽  
pp. 92-96 ◽  
Author(s):  
O Bayrak ◽  
I Boztosun
Keyword(s):  
Iteration Method ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Hulthén Potential ◽  
Hulthen Potential

EXACT ANALYTICAL SOLUTION OF THE KLEIN–GORDON EQUATION FOR THE PIONIC ATOM BY ASYMPTOTIC ITERATION METHOD

2006 ◽  
Vol 15 (06) ◽  
pp. 1243-1251 ◽  
Author(s):  
A. DURMUS ◽  
F. YASUK ◽  
I. BOZTOSUN
Keyword(s):  
Analytical Solution ◽  
Iteration Method ◽  
Molecular Spectroscopy ◽  
Exact Analytical Solution ◽  
Coulomb Field ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Confluent Hypergeometric Functions ◽  
Pionic Atom ◽  
Klein Gordon

Within the framework of the asymptotic iteration method, we investigate the exact analytical solution for pionic atom in the Coulomb field of a nucleus. Exact bound state energy eigenvalues and corresponding eigenfunctions are determined for the case of angular momentum l≠0, for which the Coulomb potential is exactly solvable. Bound state eigenfunctions solutions, which have been extremely used in applications related with molecular spectroscopy, are obtained in terms of confluent hypergeometric functions.

ARBITRARY ℓ-STATE SOLUTION OF THE HELLMANN POTENTIAL

2007 ◽  
Vol 06 (04) ◽  
pp. 893-903 ◽  
Author(s):  
G. KOCAK ◽  
O. BAYRAK ◽  
I. BOZTOSUN
Keyword(s):  
Iteration Method ◽  
State Energy ◽  
Bound State ◽  
Accurate Solution ◽  
State Solution ◽  
Asymptotic Iteration Method ◽  
Bound State Energy ◽  
Energy Eigenvalues ◽  
Radial Schrödinger Equation ◽  
Hellmann Potential

We present an alternative and accurate solution of the radial Schrödinger equation for the Hellmann potential within the framework of the asymptotic iteration method. We show that the bound state energy eigenvalues can be obtained easily for any n and ℓ values without using any approximations required by other methods. Our results are compared with the findings of other methods.

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