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Title of Journal: J Math Chem

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Abbravation: Journal of Mathematical Chemistry

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Springer Netherlands

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DOI

10.1007/978-1-349-21755-7_9

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1572-8897

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Exact quantization rule to the Kratzertype potent

Authors: Sameer M Ikhdair Ramazan Sever
Publish Date: 2008/08/09
Volume: 45, Issue: 4, Pages: 1137-
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Abstract

For arbitrary values of n and l quantum numbers we present a simple exact analytical solution of the Ddimensional D ≥ 2 hyperradial Schrödinger 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 ψ nl r are also calculated The exact energy eigenvalues for these Kratzertype potentials are calculated numerically for a few typical LiH CH HCl CO NO O2 N2 and I2 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 I2 LiH HCl O2 NO and CO are also given Our results obtained by EQR are in exact agreement with those obtained by other methods

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