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Open Physics

formerly Central European Journal of Physics


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On solutions of the Schrödinger equation for some molecular potentials: wave function ansatz

1Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey

2Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

© 2008 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Open Physics. Volume 6, Issue 3, Pages 697–703, ISSN (Online) 2391-5471, DOI: 10.2478/s11534-008-0060-y, July 2008

Publication History

Published Online:
2008-07-17

Abstract

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and ν are also given, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D and δ is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.

PACS: 03.65.-w; 03.65.Fd; 03.65.Ge

Keywords: bound states; pseudoharmonic potential; Kratzer’s potential; Mie-type potential; anharmonic oscillator potential; Schrödinger equation; diatomic molecules

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