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Modified l-states of diatomic molecules subject to central potentials plus an angle-dependent potential
Date
2009-11-01
Author
Berkdemir, Cueneyt
Sever, Ramazan
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We present modified a""-states of diatomic molecules by solving the radial and angle-dependent parts of the Schrodinger equation for central potentials, such as Morse and Kratzer, plus an exactly solvable angle-dependent potential V (theta) (theta)/r (2) within the framework of the Nikiforov-Uvarov (NU) method. We emphasize that the contribution which comes from the solution of the Schrodinger equation for the angle-dependent potential modifies the usual angular momentum quantum number a"". We calculate explicitly bound state energies of a number of neutral diatomic molecules composed of a first-row transition metal and main-group elements for both Morse and Kratzer potentials plus an angle-dependent potential. We also compare the bound state energies for both potentials, taking into account spectroscopic parameters of diatomic molecules and arbitrary values of potential constants.
Subject Keywords
Applied Mathematics
,
General Chemistry
URI
https://hdl.handle.net/11511/62547
Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
https://doi.org/10.1007/s10910-008-9498-9
Collections
Department of Physics, Article
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Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules
IKHDAİR, SAMEER; Sever, Ramazan (Springer Science and Business Media LLC, 2009-04-01)
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 eigenvalu...
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C. Berkdemir and R. Sever, “Modified l-states of diatomic molecules subject to central potentials plus an angle-dependent potential,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 1122–1136, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62547.