PSEUDOSPIN AND SPIN SYMMETRY OF DIRAC-GENERALIZED YUKAWA PROBLEMS WITH A COULOMB-LIKE TENSOR INTERACTION VIA SUSYQM

2013 ◽  
Vol 22 (07) ◽  
pp. 1350052 ◽  
Author(s):  
AKPAN N. IKOT ◽  
ELHAM MAGHSOODI ◽  
SABER ZARRINKAMAR ◽  
N. SALEHI ◽  
HASSAN HASSANABADI
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Approximate Solutions ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Spin Orbit Coupling ◽  
Coupling Term ◽  
Energy Eigenvalues ◽  
Special Cases ◽  
Coulomb Potentials

We investigated the approximate solutions of the Dirac equation for the generalized Yukawa types I and II under the framework of pseudospin and spin symmetry limits. We obtained the energy eigenvalues and the corresponding wave functions using the supersymmetry method. Closed form of the energy eigenvalues are obtained for any spin-orbit coupling term κ. We also discuss the energy eigenvalues of the Dirac equation for some well-known potentials such as Yukawa, inversely quadratic Yukawa, new Yukawa, Mie-type and Coulomb potentials which are the special cases of the generalized Yukawa potentials.

EXACT SOLUTION OF DIRAC EQUATION FOR MIE-TYPE POTENTIAL BY USING THE NIKIFOROV–UVAROV METHOD UNDER THE PSEUDOSPIN AND SPIN SYMMETRY LIMIT

2010 ◽  
Vol 25 (28) ◽  
pp. 2447-2456 ◽  
Author(s):  
M. HAMZAVI ◽  
H. HASSANABADI ◽  
A. A. RAJABI
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Wave Functions ◽  
Spin Orbit Coupling ◽  
Coupling Term ◽  
Energy Eigenvalues ◽  
Dirac Particles ◽  
Spin Symmetry Limit ◽  
Uvarov Method ◽  
Type Potential

Dirac equation is solved for Mie-type potential. The energy spectra and the corresponding wave functions are investigated with pseudospin and spin symmetry. The Nikiforov–Uvarov method is used to obtain an analytical solution of the Dirac equation and closed forms of energy eigenvalues are obtained for any spin-orbit coupling term κ. We also present some numerical results of Dirac particles for the well-known Kratzer–Fues and modified Kratzer potentials which are Mie-type potential.

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 The Effect of Tensor Interaction in Splitting the Energy Levels of Relativistic Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Mohammad Reza Shojaei ◽  
Mohsen Mousavi
Keyword(s):  
Dirac Equation ◽  
Present Model ◽  
Energy Levels ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Formula Method ◽  
Dirac Spinors

We solve approximately Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of spin and pseudospin symmetry fork≠0. The formula method is used to obtain the energy eigenvalues and wave functions. We also discuss the energy eigenvalues and the Dirac spinors for Eckart plus Hulthen potentials with formula method. To show the accuracy of the present model, some numerical results are shown in both pseudospin and spin symmetry limits.

DIRAC EQUATION FOR A COULOMB SCALAR, VECTOR AND TENSOR INTERACTION

2011 ◽  
Vol 26 (06) ◽  
pp. 1011-1018 ◽  
Author(s):  
S. ZARRINKAMAR ◽  
H. HASSANABADI ◽  
A. A. RAJABI
Keyword(s):  
Quantum Mechanics ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Coulomb Term

There is now motivating experimental evidence for relativistic symmetries in nuclei and hadrons, namely pseudospin and spin symmetry limits of the Dirac equation besides the old theoretical backgrounds. The most fundamental ingredients in such studies are definitely the wave functions and energy eigenvalues. Here, having in mind the importance of the Coulomb term as well as the degeneracy-removing role of tensor interaction, we obtain the exact solutions to the problem for Coulomb scalar, vector and tensor terms in both spin and pseudospin symmetry limits. We see that, contrary to many other common cumbersome techniques, the problem is simply solved via the methodology of supersymmetric quantum mechanics.

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 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)

scholarly journals Pseudo-spin Symmetry for Relativistic-Hyperbolic Problem and Tensor Potential

2011 ◽  
Vol 3 (3) ◽  
pp. 493-500 ◽  
Author(s):  
M. Eshghi
Keyword(s):  
Dirac Equation ◽  
Relativistic Equation ◽  
Spin Symmetry ◽  
Numerical Results ◽  
Wave Functions ◽  
Hyperbolic Problem ◽  
Energy Eigenvalues ◽  
Tensor Potential ◽  
Hyperbolic Potential ◽  
Uvarov Method

We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071               J. Sci. Res. 3 (3), 503-510 (2011

EXACTLY COMPLETE SOLUTIONS OF THE DIRAC EQUATION WITH PSEUDOHARMONIC POTENTIAL INCLUDING LINEAR PLUS COULOMB-LIKE TENSOR POTENTIAL

2011 ◽  
Vol 26 (07n08) ◽  
pp. 1363-1374 ◽  
Author(s):  
M. HAMZAVI ◽  
A. A. RAJABI ◽  
H. HASSANABADI
Keyword(s):  
Dirac Equation ◽  
Pseudospin Symmetry ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Spin Orbit Coupling ◽  
Energy Eigenvalues ◽  
Pseudoharmonic Potential ◽  
Tensor Potential ◽  
Uvarov Method ◽  
Coupling Number

In this paper, we present exact solutions of the Dirac equation with the pseudoharmonic potential including linear as well as Coulomb-like tensor potential with arbitrary spin–orbit coupling number κ under spin and pseudospin symmetry limits. The Nikiforov–Uvarov method is used to obtain energy eigenvalues and corresponding eigenfunctions in closed forms. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. Some numerical results are also given.

scholarly journals Aspect Ratio Effect of Vertical Lid Driven Chamber Having a Centered Conducting Solid on Mixed Magnetoconvection

2011 ◽  
Vol 3 (3) ◽  
pp. 501-513 ◽  
Author(s):  
R. Nasrin
Keyword(s):  
Dirac Equation ◽  
Aspect Ratio ◽  
Relativistic Equation ◽  
Spin Symmetry ◽  
Wave Functions ◽  
Ratio Effect ◽  
Energy Eigenvalues ◽  
Tensor Potential ◽  
Hyperbolic Potential ◽  
Uvarov Method

We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071               J. Sci. Res. 3 (3), 503-510 (2011)

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