Spatially-dependent mass | An-Najah Staff

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

Mon, 2013-09-16 06:43 — 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.

Solutions of The Spatially-Dependent Mass Dirac Equation with the Spin and Pseudospin Symmetry for the Coulomb-Like Potential

Sun, 2013-09-15 07:32 — Sameer. Ikhdair

Journal Title, Volume, Page:

Applied Mathematics and Computation, 216, 545–555

Year of Publication:

2010

Link:

http://inspirehep.net/record/843571?ln=en

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, Turkey

Current Affiliation:

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

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

We study the effect of spatially dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3+1)-dimensions for any arbitrary spin-orbit κ state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by means of the Nikiforov-Uvarov method, in closed form. This physical choice of the mass function leads to an exact analytical solution for the pseudospin part of the Dirac equation. The special cases (l=l˜=0, i.e., s-wave), the constant mass and the non-relativistic limits are briefly investigated.