scholarly journals Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Hadi Tokmehdashi ◽  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Spin Symmetry ◽  
Bound State ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Spin Orbit ◽  
Energy Eigenvalues ◽  
Dirac Particles ◽  
Two Component ◽  
Rosen Potential ◽  
Nu Method

The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum numberκwith the Hulthén and Coulomb-like potentials as a tensor interaction. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding two-component spinors of the two Dirac particles and these are obtained in the closed form by using the framework of the spin symmetry and p-spin symmetry concept. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.

Dirac equation with multiparameter-potential and Hulthén tensor interaction under relativistic symmetries

Open Physics ◽  
2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Sami Ortakaya
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Numerical Results ◽  
Exponential Potential ◽  
Energy Eigenvalues ◽  
Nu Method

AbstractThe pseudospin and spin symmetric solutions of the Dirac equation with Hulthén-type tensor interaction are obtained under multi-parameter-exponential potential (MEP) for arbitrary κ states. The energy eigenvalues and the corresponding eigenfunctions are also obtained using the parametric Nikiforov-Uvarov (NU) method. Some numerical results are also obtained for pseudospin and spin symmetry limits.

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.

SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL WITH CENTRIFUGAL BARRIER

2012 ◽  
Vol 21 (12) ◽  
pp. 1250097 ◽  
Author(s):  
M. HAMZAVI ◽  
S. M. IKHDAIR ◽  
K.-E. THYLWE
Keyword(s):  
State Energy ◽  
Bound State ◽  
Arbitrary Spin ◽  
Nonrelativistic Limit ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Centrifugal Barrier ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Component Wave

Approximate analytical solutions of the Dirac equation with the trigonometric Pöschl–Teller (tPT) potential are obtained for arbitrary spin-orbit quantum number κ using an approximation scheme to deal with the spin-orbit coupling terms κ(κ±1)r-2. In the presence of exact spin and pseudo-spin (p-spin) symmetric limitation, the bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle moving in the field of attractive and repulsive tPT potential are obtained using the parametric generalization of the Nikiforov–Uvarov (NU) method. The case of nonrelativistic limit is studied too.

APPROXIMATE BOUND DIRAC STATES FOR PSEUDOSCALAR HULTHÉN POTENTIAL

2013 ◽  
Vol 22 (06) ◽  
pp. 1350035
Author(s):  
M. HAMZAVI ◽  
A. A. RAJABI ◽  
F. KOOCHAKPOOR
Keyword(s):  
Dirac Equation ◽  
Energy Eigenvalue ◽  
Spin Symmetry ◽  
Bound State ◽  
Hulthén Potential ◽  
Energy Eigenvalues ◽  
Hulthen Potential ◽  
Approximate Analytical Solutions ◽  
Potential Parameters ◽  
Nu Method

In this paper, we present approximate analytical solutions of the Dirac equation with the pseudoscalar Hulthén potential under spin and pseudospin (p-spin) symmetry limits in (3+1) dimensions. The energy eigenvalues and corresponding eigenfunctions are given in their closed forms by using the Nikiforov–Uvarov (NU) method. Numerical results of the energy eigenvalue equations are presented to show the effects of the potential parameters on the bound-state energies.

scholarly journals Generalized Nuclear Woods-Saxon Potential under Relativistic Spin Symmetry Limit

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
M. Hamzavi ◽  
A. A. Rajabi
Keyword(s):  
Spin Symmetry ◽  
Arbitrary Spin ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Saxon Potential ◽  
Symmetry Limit ◽  
Energy Eigenvalues ◽  
Spin Symmetry Limit ◽  
Pekeris Approximation ◽  
Coupling Number

By using the Pekeris approximation, we present solutions of the Dirac equation with the generalized Woods-Saxon potential with arbitrary spin-orbit coupling number under spin symmetry limit. We obtain energy eigenvalues and corresponding eigenfunctions in closed forms. Some numerical results are given too.

Relativistic symmetries of fermions in the background of the inversely quadratic Yukawa potential with Yukawa potential as a tensor

2014 ◽  
Vol 92 (1) ◽  
pp. 51-58
Author(s):  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Yukawa Potential ◽  
Bound State ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Yukawa Tensor Interaction ◽  
Uvarov Method ◽  
Spinor Wave ◽  
Component Spinor

In the presence of spin and pseudo-spin symmetries, we obtain approximate analytical bound state solutions to the Dirac equation with scalar–vector inverse quadratic Yukawa potential including a Yukawa tensor interaction for any arbitrary spin–orbit quantum number, κ. The energy eigenvalues and their corresponding two-component spinor wave functions are obtained in closed form using the parametric Nikiforov–Uvarov method. It is noticed that the tensor interaction removes the degeneracy in the spin and p-spin doublets. Some numerical results are obtained for the lowest energy states within spin and pseudo-spin symmetries.

scholarly journals Approximate κ-state solutions to the Dirac Mobius square – Yukawa and Mobius square – quasi Yukawa problems under pseudospin and spin symmetry limits with Coulomb-like tensor interaction

2013 ◽  
Vol 91 (7) ◽  
pp. 560-575 ◽  
Author(s):  
Akpan N. Ikot ◽  
E. Maghsoodi ◽  
Akaninyene D. Antia ◽  
S. Zarrinkamar ◽  
H. Hassanabadi
Keyword(s):  
Spin Symmetry ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Symmetry Limit ◽  
Energy Eigenvalues ◽  
Interaction Term ◽  
Yukawa Potentials ◽  
Spin Symmetry Limit ◽  
Coulomb Potentials

In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.

scholarly journals Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction

2011 ◽  
Vol 3 (2) ◽  
pp. 239-247 ◽  
Author(s):  
M. Eshghi ◽  
H. Mehraban
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Tensor Coupling ◽  
Energy Eigenvalues ◽  
Scarf Potential ◽  
Tensor Potential ◽  
Uvarov Method

We study the Dirac equation for the q-deformed hyperbolic Scarf potential including a coulomb-like tensor potential under the spin symmetry. The parametric generalization of the Nikiforov-Uvarov method is used to obtain the energy eigenvalues equation and the unnormalized wave functins.Keywords: Dirac equation; q-deformed hyperbolic Scarf; Spin symmetry; Tensor coupling.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i2.7295                 J. Sci. Res. 3 (2), 239-247 (2011)

APPROXIMATE RELATIVISTIC κ-STATE SOLUTIONS TO THE DIRAC-HYPERBOLIC PROBLEM WITH GENERALIZED TENSOR INTERACTIONS

2013 ◽  
Vol 22 (07) ◽  
pp. 1350048 ◽  
Author(s):  
AKPAN N. IKOT ◽  
H. HASSANABADI ◽  
B. H. YAZARLOO ◽  
S. ZARRINKAMAR
Keyword(s):  
Dirac Equation ◽  
Analytical Solutions ◽  
Tensor Interaction ◽  
Numerical Results ◽  
Hyperbolic Problem ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Frame Work ◽  
Nu Method

In this paper, we present the approximate analytical solutions of the Dirac equation for hyperbolical potential within the frame work of spin and pseudospin symmetries limit including the newly proposed generalized tensor interaction (GTI) using the Nikiforov–Uvarov (NU) technique. We obtained the energy eigenvalues and the corresponding eigenfunction using the generalized parametric NU method. The numerical results of our work reveal that the presence of the GTI changes the degeneracy between the spin and pseudospin state doublets.

scholarly journals Analytical solution of energy eigen value, eigen function and angular wave function of Dirac equation with Rosen Morse plus Rosen Morse potential in terms of Romanovski polynomials for exact spin symmetry

2017 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
Ihtiari Prasetyaningrum ◽  
C Cari ◽  
A Suparmi
Keyword(s):  
Dirac Equation ◽  
Morse Potential ◽  
State Energy ◽  
Spin Symmetry ◽  
Bound State ◽  
Bound State Energy ◽  
Eigenvalues And Eigenfunctions ◽  
Energy Eigenvalues ◽  
Eigen Value ◽  
Energy Eigenvalues And Eigenfunctions

<p class="Abstract">The energy eigenvalues and eigenfunctions of Dirac equation for Rosen Morse plus Rosen Morse potential are investigated numerically in terms of finite Romanovsky Polynomial. The bound state energy eigenvalues are given in a closed form and corresponding eigenfunctions are obtained in terms of Romanovski polynomials. The energi eigen value is solved by numerical method with Matlab 2011.</p>

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