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- Title
Energy spectrum for trigonometric Pöschl-Teller potential.
- Authors
Falaye, Babatunde James
- Abstract
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 eigenfunction solutions are obtained in terms of the generalized hypergeometric functions. Energy eigenvalues for a few diatomic molecules are calculated for arbitrary quantum numbers n and ℓ with various values of parameter α. We also studied special case ℓ = 0 and found that the results are in good agreement with findings of other methods for short-range potential.
- Subjects
FORCE &; energy; SPECTRUM analysis; TRIGONOMETRIC functions; POTENTIAL theory (Physics); SCHRODINGER equation; APPROXIMATION theory; ITERATIVE methods (Mathematics)
- Publication
Canadian Journal of Physics, 2012, Vol 90, Issue 12, p1259
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/p2012-103