Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 45, Issue 4, Pages 1137-1152Publisher
SPRINGER
DOI: 10.1007/s10910-008-9438-8
Keywords
Bound states; Modified Kratzer potential; Exact quantization rule; Diatomic molecules
Funding
- Scientific and Technical Research Council of Turkey
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available