Solution of the Schrödinger equation for two different molecular potentials by the Nikiforov-Uvarov method |
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Authors: | Fevzi Büyükiliç Harun Egˇrifes Dogˇan Demirhan |
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Institution: | (1) Department of Physics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey, TR |
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Abstract: | In this study, the solution of the Schr?dinger equation by a method developed by Nikiforov and Uvarov which is not based
on the manipulation of formal power series has been schematically presented. The method gives elegant, easy and exact solutions
of the Schr?dinger equation. In order to demonstrate the applications of the method, solutions of the Schr?dinger equation
for the well-known pseudo-harmonic oscillator and a new symmetrical potential proposed by the authors are given. The concrete
energy spectra and corresponding wave functions are obtained. The superiority and the limitations of the method compared to
other methods have also been emphasized.
Received: 20 November 1996 / Accepted: 1 October 1997 |
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Keywords: | : Analytically soluble problems P?schl-Teller potential Pseudo-harmonic potential |
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