Killingbeck potential | An-Najah Staff

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.

Influence of External Fields on the Killingbeck Potential: Quasi Exact Solution

Sun, 2013-09-15 09:20 — Sameer. Ikhdair

Journal Title, Volume, Page:

Modern Physics Letters B , Volume 27, Issue 24

Year of Publication:

2013

Link:

http://www.worldscientific.com/doi/abs/10.1142/S0217984913501765?journalCode=mpl...

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. HAMZAVI

Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

Preferred Abstract (Original):

The Killingbeck potential consists of oscillator potential plus Cornell potential, i.e. ar²+ br - c/r, that it has received a great deal of attention in particle physics. In this paper, we study the energy levels and wave function for arbitrary m-state in two-dimensional (2D) Schrödinger equation (SE) with a Killingbeck potential under the influence of strong external uniform magnetic and Aharonov–Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We use the wave function ansatz method to solve the radial problem of the Schrödinger equation with Killingbeck potential. We obtain the energy levels in the absence of external fields and also find the energy levels of the familiar Coulomb and harmonic oscillator potentials.