trigonometric Pöschl–Teller (tPT) potential

Approximate l-State Solution of the Rotating Trigonometric Pöschl-Teller Potential

Tue, 2013-10-29 14:14 — Sameer. Ikhdair

Journal Title, Volume, Page:

Molecular Physics Vol. 110, No. 24 , 3031–3039

Year of Publication:

2012

Link:

http://arxiv.org/abs/1205.0941

Authors:

S.M. Ikhdair

Physics Department, Near East University, 922022 Nicosia, North Cyprus, Turkey

Current Affiliation:

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

[email protected]

M. Hamzavi

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

Preferred Abstract (Original):

The trigonometric P\"oschl-Teller (PT) potential describes the diatomic molecular vibration. We have obtained the approximate solutions of the radial Schr\"odinger equation (SE) for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary -states in closed form. In the low screening region, when the screening parameter the potential reduces to Kratzer potential. Further, some numerical results are presented for several diatomic molecules.

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.

An-Najah Staff