P-Spin Symmetry | 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.

Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution

Wed, 2013-10-30 09:22 — Sameer. Ikhdair

Journal Title, Volume, Page:

Z. Naturforsch. 67a, 567-571

Year of Publication:

2012

Link:

http://arxiv.org/abs/1205.6088

Authors:

Sameer M Ikhdair

Physics Department, Near East University, 922022, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

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

[email protected]

Majid Hamzavi

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Karl-Erik Thylwe

KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden

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.