Polynomial Solution of Non-Central Potentials
Quantum Physics
2009-11-13 v1
Abstract
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.
Keywords
Cite
@article{arxiv.quant-ph/0702186,
title = {Polynomial Solution of Non-Central Potentials},
author = {Sameer M. Ikhdair and Ramazan Sever},
journal= {arXiv preprint arXiv:quant-ph/0702186},
year = {2009}
}
Comments
18 pages