tensor interaction | An-Najah Staff

Relativistic Effect of Pseudospin Symmetry and Tensor Coupling on the Mie-Type Potential via Laplace ‎Transformation Method

Mon, 2015-03-16 15:10 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chin. Phys. B Vol. 23, No. 12

Year of Publication:

2014

Link:

http://iopscience.iop.org/1674-1056/23/12/120304/

Authors:

Sameer M. Ikhdair

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine

[email protected]

M. Eshghi

Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

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 = Cps 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.

Relativistic Symmetry of Position-Dependent Mass Particles in A Coulomb Field Including Tensor Interaction

Mon, 2013-09-16 07:43 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chin. Phys. B Vol. 22, No. 3, 030303

Year of Publication:

2013

Link:

http://iopscience.iop.org/1674-1056/22/3/030303/

Authors:

S. M. Ikhdair

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

M. Eshghi

Physics Department, Imam Hossein Comprehensive University, Tehran, Iran

M. Hamzavi

Department of Electrical and Electronic Engineering, Near East University, 922022, Nicosia, Northern Cyprus, Turkey

Preferred Abstract (Original):

The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials, including a tensor interaction under the spin and pseudospin symmetric limits. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin—orbit quantum number κ. Some numerical results are also given, and the effect of tensor interaction on the bound states is presented. It is shown that tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under spin symmetric limit conditions in the absence of tensor interaction.

Relativistic Symmetries with the Trigonometric Pöschl Teller Potential Plus Coulomb-Like Tensor Interaction

Thu, 2013-09-12 12:58 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chin. Phys. B Vol. 22, No. 6 060305

Year of Publication:

2013

Link:

http://iopscience.iop.org/1674-1056/22/6/060305

Authors:

Sameer M. Ikhdair

Physics Department, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Physics, An-Najah National University, Nablus, Palestine

[email protected]

Babatunde J. Falaye

Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria

Preferred Abstract (Original):

The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Pöschl—Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin—orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ ± 1)r⁻². In view of spin and pseudo-spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ. The non-relativistic limit is also obtained.