JOURNAL OF MATHEMATICAL CHEMISTRY, vol.43, no.2, pp.749-755, 2008 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF MATHEMATICAL CHEMISTRY
Science Citation Index Expanded, Scopus
Mie potential, diatomic molecules, Schrodinger equation, Nikiforov-Uvarov method, PATH-INTEGRAL SOLUTION, WINTERNITZ SYSTEM, 1/N EXPANSION, SUPERINTEGRABILITY, OSCILLATOR, DIMENSIONS
Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of l and n with n <= 5. They are applied to several diatomic molecules.