Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential

2009 ◽  
Vol 43 (1) ◽  
Author(s):  
O. Aydoğdu ◽  
R. Sever
Keyword(s):  
Dirac Equation ◽  
Spin Symmetry ◽  
Saxon Potential ◽  
Tensor Potential

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

scholarly journals Pseudo-spin Symmetry in Dirac-Four-Parameter Diatomic Problem Coupled with a Coulomb-like Tensor potential

BIBECHANA ◽  
2012 ◽  
Vol 8 ◽  
pp. 23-30
Author(s):  
Mahdi Eshghi
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
State Energy ◽  
Spin Symmetry ◽  
Bound State ◽  
Wave Functions ◽  
Bound State Energy ◽  
Tensor Potential ◽  
Uvarov Method ◽  
Spinor Wave

In this work, we use the parametric generalization of the Nikiforov-Uvarov method to obtain the relativistic bound state energy spectrum and the corresponding spinor wave-functions for four-parameter diatomic potential coupled with a Coulomb-like tensor under the condition of the pseudo-spin symmetry. Also, some numerical results have given.Keywords: Dirac equation; four-parameter diatomic potential; Coulomb-like tensorDOI: http://dx.doi.org/10.3126/bibechana.v8i0.4879BIBECHANA 8 (2012) 23-30

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)

Bound states of the Dirac equation for the generalized Woods–Saxon potential in pseudospin and spin symmetry limits

2014 ◽  
Vol 29 (35) ◽  
pp. 1450180 ◽  
Author(s):  
N. Candemir ◽  
O. Bayrak
Keyword(s):  
Dirac Equation ◽  
Effective Potential ◽  
Bound States ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Bound State ◽  
Energy Splitting ◽  
Saxon Potential ◽  
Numerical Examples ◽  
Energy Eigenvalues

Bound state solutions of the Dirac equation for the generalized Woods–Saxon potential are examined for arbitrary κ states by using the approximation to the Coulomb and centrifugal potentials in pseudospin symmetry (PSS) and spin symmetry (SS) limits, respectively. The energy eigenvalues and corresponding eigenfunctions are obtained in closed forms. Some numerical examples are given for proton or anti-proton in a nucleus. The correlations between the energy splitting and some parameters of the effective potential in PSS limit are examined for several pseudospin doublets.

scholarly journals EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC–KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH

2012 ◽  
Vol 27 (30) ◽  
pp. 1250171 ◽  
Author(s):  
ALTUĞ ARDA ◽  
RAMAZAN SEVER
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Laplace Transform ◽  
Coulomb Potential ◽  
Spin Symmetry ◽  
Bound State ◽  
Exact Bound ◽  
Tensor Potential ◽  
The Laplace Transform ◽  
Parameter Values

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different parameter values.

scholarly journals Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ituen B. Okon ◽  
E. Omugbe ◽  
Akaninyene D. Antia ◽  
C. A. Onate ◽  
Louis E. Akpabio ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Bound State ◽  
Compact Form ◽  
Relativistic Energy ◽  
Quadratic Potential ◽  
Special Cases

AbstractIn this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov–Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.

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.

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