Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier

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2012-08-01

Author

Arda, Altug
Sever, Ramazan

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Approximate analytical bound state solutions of the radial Schrodinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q >= 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning-Rosen potential, the 'standard' Hulthen potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.

Subject Keywords

Diatomic molecular potential, Schrodinger equation, Bound states

URI

https://hdl.handle.net/11511/62636

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-012-0011-0

Collections

Department of Physics, Article

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Citation Formats

A. Arda and R. Sever, “Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 1920–1930, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62636.