Journal Title, Volume, Page:

Chin. Phys. B Vol. 23, No. 12
Year of Publication:

2014
Preferred Abstract (Original):

A relativistic Mie-type potential for spin-1/2 particles is studied. The Dirac Hamiltonian contains a scalar *S*(*r*) and a vector *V*(*r*) Mie-type potential in the radial coordinates, as well as a tensor potential *U*(*r*) in the form of Coulomb potential. In the pseudospin (p-spin) symmetry setting Σ = *C*ps and Δ = *V*(*r*), an analytical solution for exact bound states of the corresponding Dirac equation is found. The eigenenergies and normalized wave functions are presented and particular cases are discussed with any arbitrary spin—orbit coupling number κ. Special attention is devoted to the case Σ = 0 for which p-spin symmetry is exact. The Laplace transform approach (LTA) is used in our calculations. Some numerical results are obtained and compared with those of other methods.

Journal Title, Volume, Page:

The European Physical Journal Plus , 129:1
Year of Publication:

2014
Preferred Abstract (Original):

Journal Title, Volume, Page:

Annals of Physics Volume 341, Pages 153–163
Year of Publication:

2014
Preferred Abstract (Original):

We explore the effect of the external magnetic and Aharonov–Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the two-dimensional (2D) space. We calculate the exact energy eigenvalues and the corresponding un-normalized two-spinor-components wave functions in terms of the chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by using the Nikiforov–Uvarov (NU) method.

Journal Title, Volume, Page:

Indian Journal of Physics, Volume 88, Issue 7, pp 695-707
Year of Publication:

2014
Preferred Abstract (Original):

Journal Title, Volume, Page:

Pramana , Volume 83, Issue 1, pp 49-61
Year of Publication:

2014
Preferred Abstract (Original):

Journal Title, Volume, Page:

Physica Scripta ; 89(11):115204
Year of Publication:

2014
Preferred Abstract (Original):

In this study, approximate analytical solution of Schr\"odinger, Klein-Gordon and Dirac equations under the Tietz-Wei (TW) diatomic molecular potential are represented by using an approximation for the centrifugal term. We have applied three types of eigensolution techniques; the functional analysis approach (FAA), supersymmetry quantum mechanics (SUSYQM) and asymptotic iteration method (AIM) to solve Klein-Gordon Dirac and Schr\"odinger equations, respectively. The energy eigenvalues and the corresponding eigenfunctions for these three wave equations are obtained and some numerical results and figures are reported. It has been shown that these techniques yielded exactly same results. some expectation values of the TW diatomic molecular potential within the framework of the Hellmann-Feynman theorem (HFT) have been presented. The probability distributions which characterize the quantum-mechanical states of TW diatomic molecular potential are analysed by means of complementary information measures of a probability distribution called the Fishers information entropy. This distribution has been described in terms of Jacobi polynomials, whose characteristics are controlled by the quantum numbers.

Journal Title, Volume, Page:

Z. Naturforsch. 68a (3-4) (2013) 279-290
Year of Publication:

2013
Preferred Abstract (Original):

Approximate bound state solutions of the Dirac equation with the Hulth\'en plus a new generalized ring-shaped (RS) potential are obtained for any arbitrary -state. The energy eigenvalue equation and the corresponding two-component wave function are calculated by solving the radial and angular wave equations within a recently introduced shortcut of Nikiforov-Uvarov (NU) method. The solutions of the radial and polar angular parts of the wave function are given in terms of the Jacobi polynomials. We use an exponential approximation in terms of the Hulthen potential parameters to deal with the strong singular centrifugal potential term Under the limiting case, the solution can be easily reduced to the solution of the Schrodinger equation with a new ring-shaped Hulth\'en potential.

Journal Title, Volume, Page:

Z. Naturforsch. 67a, 567-571
Year of Publication:

2012
Preferred Abstract (Original):

The Killingbeck potential consisting of the harmonic oscillator-plus-Cornell potential, is of great interest in high energy physics. The solution of Dirac equation with the Killingbeck potential is studied in the presence of the pseudospin (p-spin) symmetry within the context of the quasi-exact solutions. Two special cases of the harmonic oscillator and Coulomb potential are also discussed.

Journal Title, Volume, Page:

Chin. Phys. B Vol. 22, No. 4 (2013) 040302
Year of Publication:

2013
Preferred Abstract (Original):

Approximate analytical bound-state solutions of the Dirac particle in the field of both attractive and repulsive RM potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The Pekeris approximation is used to deal with the spin-orbit coupling terms In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov-Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

Journal Title, Volume, Page:

Journal of Modern Physics, 3, 170-179
Year of Publication:

2012
Preferred Abstract (Original):

In some quantum chemical applications, the potential models are linear combination of single exactly solvable potentials. This is the case equivalent of the Stark effect for a charged harmonic oscillator (HO) in a uniform electric field of specific strength (HO in an external dipole field). We obtain the exact s-wave solutions of the Dirac equation for some potential models which are linear combination of single exactly solvable potentials (ESPs). In the framework of the spin and pseudospin symmetric concept, we calculate the analytic energy spectrum and the corresponding two-component upper- and lower-spinors of the two Dirac particles by the Nikiforov-Uvarov (NU) method, in a closed form. The nonrelativistic limit of the solution is also studied and compared with the other works.