2024/10/21 by Guillermo Gordillo-Núñez, Gordillo-Núñez, Guillermo
Computer Science · Mathematics · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2411.00804
openalex publication_date 2024/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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 Schrödinger equation, paying special attention to properly and completely characterising its spectrum. Finally, some potentials are discussed and solved.