Klein–Gordon equation | An-Najah Staff

Eigensolution Techniques, Their Applications and the Fisher's Information Entropy of Tietz-Wei ‎Diatomic Molecular Model

Mon, 2015-02-16 15:02 — Sameer. Ikhdair

Journal Title, Volume, Page:

Physica Scripta ; 89(11):115204

Year of Publication:

2014

Link:

http://iopscience.iop.org/1402-4896/89/11/115204/

Authors:

Sameer M. Ikhdair

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

[email protected]

M. Hamzavi

Department of Physics, University of Zanjan, Zanjan, Iran

B. J. Falaye

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

K. J. Oyewumi

Theoretical Physics Section, Department of Physics, University of Ilorin, P M B 1515, Ilorin, Nigeria

Preferred Abstract (Original):

In this study, approximate analytical solution of Schr\"odinger, Klein-Gordon and Dirac equations under the Tietz-Wei (TW) diatomic molecular potential are represented by using an approximation for the centrifugal term. We have applied three types of eigensolution techniques; the functional analysis approach (FAA), supersymmetry quantum mechanics (SUSYQM) and asymptotic iteration method (AIM) to solve Klein-Gordon Dirac and Schr\"odinger equations, respectively. The energy eigenvalues and the corresponding eigenfunctions for these three wave equations are obtained and some numerical results and figures are reported. It has been shown that these techniques yielded exactly same results. some expectation values of the TW diatomic molecular potential within the framework of the Hellmann-Feynman theorem (HFT) have been presented. The probability distributions which characterize the quantum-mechanical states of TW diatomic molecular potential are analysed by means of complementary information measures of a probability distribution called the Fishers information entropy. This distribution has been described in terms of Jacobi polynomials, whose characteristics are controlled by the quantum numbers.

Exact Bound States of the D-Dimensional Klein Gordon Equation with Equal Scalar and Vector Ring-Shaped Pseudoharmonic Potential

Mon, 2013-10-28 14:34 — Sameer. Ikhdair

Journal Title, Volume, Page:

International Journal of Modern Physics C Vol. 19, No. 9, 1425-1442

Year of Publication:

2008

Link:

http://www.worldscientific.com/doi/abs/10.1142/S0129183108012923

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, 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):

We present the exact solution of the Klein–Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov–Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular part of the potential becomes zero.

Klein–Gordon Solutions for a Yukawa-like Potential

Sun, 2013-09-15 08:12 — Sameer. Ikhdair

Journal Title, Volume, Page:

Z. Naturforsch. XXX, 1 – 10

Year of Publication:

2013

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, Palestine

[email protected]

Preferred Abstract (Original):

The Klein–Gordon equation for a recently proposed Yukawa-type potential is solved with any or-bital quantum number l. In the equally mixed scalar-vector potential ﬁelds $S(r) = \pm V(r)$ the approximateenergy eigenvalues and their wave functions for a particle and anti-particle are obtained by means of the parametric Nikiforov–Uvarov method. The non-relativistic solutions are also investigated. It is found that the present analytical results are in exact agreement with the previous ones.

Spinless Particles in the Field of Unequal Scalar Vector Yukawa Potentials

Thu, 2013-09-12 11:51 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chin. Phys. B Vol. 22, No. 4 040301

Year of Publication:

2013

Link:

http://arxiv-web3.library.cornell.edu/abs/1307.8309

Authors:

Sameer M. Ikhdair

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

Current Affiliation:

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

[email protected]

Karl-Erik Thylwe

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

Majid Hamzavi

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

Preferred Abstract (Original):

We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary -state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of the Nikiforov-Uvarov (NU) method. Further, we solve the KG-Yukawa problem for its exact numerical energy eigenvalues via amplitude phase (AP) method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst energy states of the KG-Yukawa problem. The dependence of the energy on the dimension is numerically discussed for spatial dimensions