The Nikiforov-Uvarov method
Classical Analysis and ODEs
2024-11-05 v1
Abstract
We review the so-called Nikiforov-Uvarov method along with some basic results about classical orthogonal polynomials and hypergeometric functions related to the hypergeometric differential equation. The method is employed to address certain eigenvalue problems that appear in quantum mechanics, namely, time-independent Schr\"odinger equation, paying special attention to properly and completely characterising its spectrum. Finally, some potentials are discussed and solved.
Keywords
Cite
@article{arxiv.2411.00804,
title = {The Nikiforov-Uvarov method},
author = {Guillermo Gordillo-Núñez},
journal= {arXiv preprint arXiv:2411.00804},
year = {2024}
}