The attractive Coulomb potential polynomials
type: Item
instance of: scholarly article
title: The attractive Coulomb potential polynomials
zbMATH Open document ID: 0584.42016
DOI: 10.1007/BF01890025
author: Edward Bank
author: Mourad E. H. Ismail
published in: Constructive Approximation
publication date: 1985-01-01T00:00:00Z
review text: The J matrix method in quantum mechanics developed by Heller, Reinhardt, and Yamani points to a set of orthogonal polynomials having a nonempty continuous spectrum in addition to an infinite discrete spectrum. Asymptotic methods are used to investigate the spectral properties of these polynomials. We also obtain generating functions for both numerator and denominator polynomials. The corresponding continued fraction is computed and the Stieltjes inversion formula is used to determine the distribution function.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 81U99
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 3935684
zbMATH Keywords: Schrödinger wave equation
zbMATH Keywords: Pollaczek polynomials
zbMATH Keywords: J matrix method
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: continuous spectrum
zbMATH Keywords: Asymptotic methods
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01890025
OpenAlex ID: W1964765126
description: scientific article; zbMATH DE number 3935684