spin and p-spin symmetry | An-Najah Staff

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.

Spin And Pseudospin Symmetries In Relativistic Trigonometric Pöschl Teller Potential With Centrifugal Barrier

Tue, 2013-10-29 09:00 — Sameer. Ikhdair

Journal Title, Volume, Page:

International Journal of Modern Physics E Vol. 21, No. 12

Year of Publication:

2012

Link:

http://www.worldscientific.com/doi/abs/10.1142/S0218301312500978

Authors:

S. 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]

K.-E. THYLWE

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

M. HAMZAVI

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Preferred Abstract (Original):

Approximate analytical solutions of the Dirac equation with the trigonometric Pöschl–Teller (tPT) potential are obtained for arbitrary spin-orbit quantum number κ using an approximation scheme to deal with the spin-orbit coupling terms κ(κ±1)r^-2. In the presence of exact spin and pseudo-spin (p-spin) symmetric limitation, the bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle moving in the field of attractive and repulsive tPT potential are obtained using the parametric generalization of the Nikiforov–Uvarov (NU) method. The case of nonrelativistic limit is studied too.