Approximate Solution of the Spin-0 Particle Subject to the Trigonometric Pöschl–Teller Potential with Centrifugal Barrier

The trigonometric Pöschl-Teller (PT) potential describes the diatomic molecular vibration. In this paper, we study the approximate solutions of the radial Klein-Gordon (KG) equation for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their c...

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Published inZeitschrift für Naturforschung. A, A journal of physical sciences Vol. 68; no. 8; pp. 524 - 530
Main Authors Hamzavi, Majid, Rajabi, Ali Akbar, Amirfakhrian, Majid
Format Journal Article
LanguageEnglish
Published Verlag der Zeitschrift für Naturforschung 01.09.2013
Subjects
Klein-Gordon Equation
Nikiforov-Uvarov Method
Trigonometric Pöschl-Teller Potential
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Summary:The trigonometric Pöschl-Teller (PT) potential describes the diatomic molecular vibration. In this paper, we study the approximate solutions of the radial Klein-Gordon (KG) equation for the rotating trigonometric PT potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues and their corresponding eigenfunctions are calculated for arbitrary l-states in closed form. We obtain the non-relativistic limit and present some numerical results for both relativistic and non-relativistic cases.
ISSN:0932-0784
1865-7109
DOI:10.5560/zna.2013-0030