EXACT SOLUTIONS OF THE DIRAC EQUATION WITH HARMONIC OSCILLATOR POTENTIAL INCLUDING A COULOMB-LIKE TENSOR POTENTIAL

2009 ◽  
Vol 20 (06) ◽  
pp. 931-940 ◽  
Author(s):  
H. AKCAY ◽  
C. TEZCAN
Keyword(s):  
Dirac Equation ◽  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Spin Orbit ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Energy Eigenvalues ◽  
Vector Potentials ◽  
Tensor Potential ◽  
Dirac Hamiltonian

In this work, we study the Dirac equation with scalar, vector, and tensor interactions. The Dirac Hamiltonian contains quadratic scalar and vector potentials, as well as a tensor potential. The tensor potential is taken as a sum of a linear term and a Coulomb-like term. It is shown that the tensor potential preserves the form of the harmonic oscillator potential and generates spin-orbit terms. The energy eigenvalues and the corresponding eigenfunctions are obtained for different alternatives.

scholarly journals Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Bahar ◽  
F. Yasuk
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Ansatz Method ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Mass Dependent ◽  
Klein Gordon Equation

Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.

Pseudospin symmetry and a double ring-shaped spherical harmonic oscillator potential

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Min-Cang Zhang
Keyword(s):  
Harmonic Oscillator ◽  
Spherical Harmonic ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spinor Wave Function ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Double Ring ◽  
Vector Potentials ◽  
Spinor Wave

AbstractA new double ring-shaped spherical harmonic oscillator potential is presented. The pseudospin symmetry in this system is investigated by solving the Dirac equation with equal mixture of scalar and vector potentials with opposite signs. The normalized spinor wave function and energy equation are obtained and some particular cases are discussed.

PSEUDOSPIN SYMMETRY IN DEFORMED NUCLEI WITH AXIALLY-SYMMETRIC HARMONIC OSCILLATOR POTENTIAL

2010 ◽  
Vol 25 (07) ◽  
pp. 549-556 ◽  
Author(s):  
M. R. SETARE ◽  
Z. NAZARI
Keyword(s):  
Dirac Equation ◽  
Harmonic Oscillator ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Axially Symmetric ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Deformed Nuclei ◽  
Axially Symmetry

We examine the pseudospin symmetry in deformed nuclei with axially-symmetry and obtain the eigenfunctions and energy equation for the case of axially-symmetric harmonic oscillator potential in the Dirac equation.

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)

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