Confined systems associated with the discrete Meixner polynomials

Abstract

Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we study quantum systems totally confined in space and associated with the discrete Meixner polynomials. We present several examples of such systems, derive their corresponding potential functions, and plot some of their bound states.

arXiv comment12 pages, 4x2 figures

References in corpus (5)

• Quantum mechanics without potential function
• Establishing correspondence between the reformulation of quantum mechanics without a potential function and the conventional formulation
• The Wilson-Racah Quantum System
• Quantum mechanics with orthogonal polynomials
• The Hahn Quantum System