wave function ansatz | An-Najah Staff

Nonrelativistic Molecular Models Under External ‎Magnetic and AB Flux Fields

Mon, 2015-02-16 14:54 — Sameer. Ikhdair

Journal Title, Volume, Page:

Annals of Physics Volume 353, February 2015, Pages 282–298

Year of Publication:

2015

Link:

http://www.sciencedirect.com/science/article/pii/S0003491614003376

Authors:

Sameer M. Ikhdair

Department of Physics, Faculty of Science, an-Najah National University, New campus, P. O. Box 7, Nablus, Palestine

Current Affiliation:

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

[email protected]

Babatunde J. Falaye

Applied Theoretical Physics Division, Department of Physics, Federal University Lafia, P. M. B. 146, Lafia, Nassarawa State, Nigeria

Majid Hamzavi

Department of Physics, University of Zanjan, Zanjan, Iran

Preferred Abstract (Original):

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary m-state in two-dimensional Schrödinger wave equation with various power interaction potentials in constant magnetic and Aharonov–Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We calculate the energy levels of some diatomic molecules in the presence and absence of external magnetic and AB flux fields using different potential models. We found that the effect of the Aharonov–Bohm field is much as it creates a wider shift for m≠0 and its influence on m=0 states is found to be greater than that of the magnetic field. To show the accuracy of the present model, a comparison is made with those ones obtained in the absence of external fields. An extension to 3-dimensional quantum system have also been presented.

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.