Bound state solution of the Schrodinger equation for Mie potential

Details Bound state solution of the Schrodinger equation for Mie potential Bound state solution of the Schrodinger equation for Mie potential

2007-01-30

arxiv.org/abs/quant-ph/0701227v2

J. Math, Chem. 43, 749(2007)

Physics

Quantum Physics

10 pages

Scientific paper

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.

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