Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules

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2009-04-01

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IKHDAİR, SAMEER
Sever, Ramazan

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For arbitrary values of n and l quantum numbers, we present a simple exact analytical solution of the D-dimensional (D a parts per thousand yen 2) hyperradial Schrodinger equation with the Kratzer and the modified Kratzer potentials within the framework of the exact quantization rule (EQR) method. The exact bound state energy eigenvalues (E (nl) ) are easily calculated from this EQR method. The corresponding normalized hyperradial wave functions (psi (nl) (r)) are also calculated. The exact energy eigenvalues for these Kratzer-type potentials are calculated numerically for a few typical LiH, CH, HCl, CO, NO, O-2, N-2 and I-2 diatomic molecules for various values of n and l quantum numbers. Numerical tests using the energy calculations for the inter dimensional degeneracy (D = 2 - 4) for I-2, LiH, HCl, O-2, NO and CO are also given. Our results obtained by EQR are in exact agreement with those obtained by other methods.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/62595

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-008-9438-8

Collections

Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 1137–1152, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62595.