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

Mathematical Physics 2012-05-07 v3 math.MP

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}andthevirialtheoremarealsoobtainedinNdimensionsusingtheHellmannFeynmantheorem.TheladderoperatorsarealsoconstructfortheMietypepotentialsinNdimensionsandthematrixelementsofsomeoperators and the virial theorem are also obtained in N-dimensions using the Hellmann-Feynman theorem.The ladder operators are also construct for the Mie-type potentials in N-dimensions and the matrix elements of some operators 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.

Keywords

Cite

@article{arxiv.0812.3780,
  title  = {Complete Analytic Solutions of the Mie-type Potentials in N-Dimensions},
  author = {D. Agboola},
  journal= {arXiv preprint arXiv:0812.3780},
  year   = {2012}
}

Comments

15 Pages,1 Table

R2 v1 2026-06-21T11:54:05.489Z