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

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.

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