Energy spectrum for trigonometric Pöschl–Teller potential

• Published in: Canadian journal of physics Vol. 90; no. 12; pp. 1259 - 1265
• Main Author: Falaye, Babatunde James
• Format: Journal Article
• Language: English
• Published: Ottawa NRC Research Press 01.12.2012; Canadian Science Publishing NRC Research Press
• Subjects: 03.65.Ge; 03.65.–w; 34.20.Cf; Approximation; Asymptotic methods; Asymptotic properties; Diatomic molecules; Eigenfunctions; Eigenvalues; Eigenvectors; Energy of formation; Energy spectra; Exact solutions; Hypergeometric functions; Iterative methods; Mathematical analysis; Mathematical functions; Mathematical physics; Molecules; Quantum numbers; Schrodinger equation; Schroedinger equation; Spectra (Spectroscopy); Trigonometrical functions; Trigonometry; Nigeria

We present analytical solutions of the Schrödinger equation for the trigonometric Pöschl–Teller molecular potential by using a proper approximation to the centrifugal term within the framework of the asymptotic iteration method. We obtain analytic forms for the energy eigenvalues and the bound state...