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