03.65.Ge | An-Najah Staff

Approximate Solutions to a Spatially-Dependent Mass Dirac Equation for Modified Hylleraas Plus Eckart Potential with Yukawa Potential as a Tensor

Tue, 2015-02-17 14:14 — Sameer. Ikhdair

Journal Title, Volume, Page:

Indian Journal of Physics, Volume 88, Issue 7, pp 695-707

Year of Publication:

2014

Link:

http://link.springer.com/article/10.1007%2Fs12648-014-0464-z

Authors:

Sameer M. Ikhdair

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

Current Affiliation:

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

Majid Hamzavi

Department of Physics, University of Zanjan, Zanjan, Iran

Preferred Abstract (Original):

In presence of spin (pseudo-spin) symmetry, approximate bounded fermionic (anti-fermionic) states of the effective mass Dirac equation for modified Hylleraas plus Eckart potential within Yukawa tensor interaction have been studied by means of the parametric Nikiforov–Uvarov method. We have obtained the analytical relativistic energy eigenvalues and their corresponding normalized two-spinor components of the wave functions in closed form by making an appropriate approximation to centrifugal (pseudo-centrifugal) term for any spin–orbit quantum number κ. Some special cases for various potential models have been investigated in relativistic and nonrelativistic limit. Further, numerical results for energy eigenvalues have been obtained within the exact spin and pseudo-spin symmetries.

Approximate Eigensolutions of Dirac Equation for the Superposition Hellmann Potential Under Spin and ‎Pseudospin Symmetries

Tue, 2015-02-17 11:30 — Sameer. Ikhdair

Journal Title, Volume, Page:

Pramana , Volume 83, Issue 1, pp 49-61

Year of Publication:

2014

Link:

http://link.springer.com/article/10.1007%2Fs12043-014-0764-z

Authors:

S M IKHDAIR

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

Current Affiliation:

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

[email protected]

M HAMZAVI

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

Preferred Abstract (Original):

The Hellmann potential is simply a superposition of an attractive Coulomb potential −a/r plus a Yukawa potential be−δ r /r. The generalized parametric Nikiforov–Uvarov (NU) method is used to examine the approximate analytical energy eigenvalues and two-component wave function of the Dirac equation with the Hellmann potential for arbitrary spin-orbit quantum number κ in the presence of exact spin and pseudospin (p-spin) symmetries. As a particular case, we obtain the energy eigenvalues of the pure Coulomb potential in the non-relativistic limit.

Bound State Energies for the Exponential Cosine Screened Coulomb Potential

Wed, 2013-10-30 13:25 — Sameer. Ikhdair

Journal Title, Volume, Page:

Zeitschrift für Physik D Atoms, Molecules and Clusters , Volume 28, Issue 1, pp 1-5

Year of Publication:

1993

Link:

http://link.springer.com/article/10.1007%2FBF01437449

Authors:

Sameer M Ikhdair

Department of Electrical Engineering, Near East University, Lefkoşa, 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 energy eigenvalues of bound states of an electron in the general exponential cosine screened Coulomb potential are obtained using the shifted 1/N expansion method. The energies for the states from 1s to 8k are calculated from six to eight significant figures. The energy eigenvalues for the 1s, 2s – 2p, 3s – 3d, and 4s – 4f states are also presented as a function of the screening parameter λ. Results are compared with the ones obtained by other workers. The agreement reduces roughly for large λ. It is also observed that the convergence of the expansion series increases remarkably aslincreases.

Bound Energy for the Exponential-Cosine-Screened Coulomb Potential

Tue, 2013-10-29 11:27 — Sameer. Ikhdair

Journal Title, Volume, Page:

Journal of Mathematical Chemistry, Vol. 41, No. 4

Year of Publication:

2007

Link:

http://link.springer.com/article/10.1007%2Fs10910-006-9080-2

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, Mersin-10, North Cyprus, 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):

An alternative approximation scheme has been used in solving the Schrödinger equation for the exponential-cosine-screened Coulomb potential. The bound state energıes for various eigenstates and the corresponding wave functions are obtained analytically up to the second perturbation term.

On Solutions of the Schrödinger Equation for Some Molecular Potentials: Wave Function Ansatz

Sun, 2013-09-15 13:26 — Sameer. Ikhdair

Journal Title, Volume, Page:

Central European Journal of Physics September, Volume 6, Issue 3, pp 697-703

Year of Publication:

2008

Link:

http://link.springer.com/content/pdf/10.2478/s11534-008-0060-y.pdf

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):

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and ν are also given, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D and δ is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.

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.

Approximate Analytical Solutions of the Generalized Woods-Saxon Potentials Including the Spin-Orbit Coupling Term and Spin Symmetry

Sun, 2013-09-15 10:44 — Sameer. Ikhdair

Journal Title, Volume, Page:

Cent. Eur. J. Phys., 8(4), 652-666

Year of Publication:

2010

Link:

http://link.springer.com/content/pdf/10.2478/s11534-009-0118-5.pdf

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia,Cyprus, 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, 06800, Ankara, Turkey

Preferred Abstract (Original):

We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. We apply the Nikiforov-Uvarov method (which solves a second-order linear differential equation by reducing it to a generalized hypergeometric form) to spin- and pseudospin-symmetry to obtain, in closed form, the approximately analytical bound state energy eigenvalues and the corresponding upper- and lower-spinor components of two Dirac particles. The special cases κ = ±1 (s = = 0, s-wave) and the non-relativistic limit can be reached easily and directly for the generalized and standard Woods-Saxon potentials. We compare the non-relativistic results with those obtained by others.

Exact Solutions of the Radial Schrödinger Equation for Some Physical Potentials

Sun, 2013-09-15 10:40 — Sameer. Ikhdair

Journal Title, Volume, Page:

Central European Journal of Physics December, Volume 5, Issue 4, pp 516-527

Year of Publication:

2007

Link:

http://link.springer.com/article/10.2478%2Fs11534-007-0022-9

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):

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.