Complete Analytic Solutions of the Mie-type Potentials in N-Dimensions

D. Agboola

paper

Complete Analytic Solutions of the Mie-type Potentials in N-Dimensions

arXiv:0812.3780

Abstract

The exact solutions of the N-dimensional Schrodinger equation with the Mie-type potentials are obtained using the conventional Nikiforov-Uvarov method.The expectation values r^{-1} and r^{-2} $an d t h e v i r ia l t h eor e ma r e a l soo b t ain e d in N - d im e n s i o n s u s in g t h eH e l l mann - F ey nman t h eor e m . T h e l a dd er o p er a t or s a r e a l soco n s t r u c t f or t h e M i e - t y p e p o t e n t ia l s in N - d im e n s i o n s an d t h e ma t r i x e l e m e n t so f so m eo p er a t or s$ r$ and r\frac{d}{dr} are analytically obtained from the ladder operators.And the general results reduce to the 3-dimensional case when N=3.

15 Pages,1 Table

Complete Analytic Solutions of the Mie-type Potentials in N-Dimensions

Abstract

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