Klein-Gordon Equation | An-Najah Staff

Effects of External Fields on a Two-Dimensional Klein Gordon Particle Under Pseudo-Harmonic Oscillator Interaction

Mon, 2013-09-16 08:20 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chin. Phys. B Vol. 21, No. 11, 110302

Year of Publication:

2012

Link:

http://cpb.iphy.ac.cn/EN/abstract/abstract50698.shtml

Authors:

Sameer M. Ikhdair

Physics Department, Near East University, Nicosia 922022, 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

Preferred Abstract (Original):

We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjected to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

Relativistic Solution in D-Dimensions to a Spin-Zero Particle for Equal Scalar and Vector Ring-Shaped Kratzer Potential

Sun, 2013-09-15 11:14 — Sameer. Ikhdair

Journal Title, Volume, Page:

Cent. Eur. J. Phys., 6(1), 141-152

Year of Publication:

2008

Link:

http://link.springer.com/article/10.2478%2Fs11534-008-0018-0

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

Current Affiliation:

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

[email protected]

Ramazan Sever

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

Preferred Abstract (Original):

The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.

Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method

Wed, 2013-09-11 10:41 — Sameer. Ikhdair

Journal Title, Volume, Page:

Ann. Phys. (Leipzig) 16, No. 3, 218 – 232

Year of Publication:

2007

Link:

http://arxiv.org/abs/quant-ph/0610183

Authors:

Sameer M. Ikhdair

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

Current Affiliation:

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

[email protected]

Ramazan Sever

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

Preferred Abstract (Original):

The one-dimensional Klein-Gordon (KG) equation has been solved for the PT-symmetric generalized Woods-Saxon (WS) potential. The Nikiforov-Uvarov(NU} method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have also investigated the positive and negative exact bound states of the s-states for different types of complex generalized WS potentials.

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Wed, 2013-09-11 08:29 — Sameer. Ikhdair

Journal Title, Volume, Page:

Journal of Quantum Information Science, 1, 73-86

Year of Publication:

2011

Link:

http://www.scirp.org/journal/PaperInformation.aspx?paperID=7631

Authors:

Sameer M. Ikhdair

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

Current Affiliation:

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

[email protected]

Preferred Abstract (Original):

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials and or the generalized hypergeometric functions have been obtained. A short-cut of the Nikiforov-Uvarov (NU) method is used in the solution. A unified treatment of the Eckart, Rosen-Morse, Hulthén and Woods-Saxon potential models can be easily derived from our general solution. The present calculations are found to be identical with those ones appearing in the literature. Further, based on the PT-symmetry, the bound state solutions of the trigonometric Rosen-Morse potential can be easily obtained.