A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
type: Item
instance of: scholarly article
title: A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
zbMATH Open document ID: 0653.34008
DOI: 10.1016/0003-4916(85)90120-4
author: Joseph N. Ginocchio
published in: Annals of Physics
publication date: 1985-01-01T00:00:00Z
review text: [For part I see ibid. 152, 203-219 (1984; Zbl 0545.34018).] A new class of angular momentum-dependent potentials with varying depths and shapes is considered in this paper, in connection with the three- dimensional Schrödinger equation with an effective mass. The author has been able to solve for the eigenfunctions, eigenenergies and scattering function in closed form in terms of known special functions.
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 4065439
zbMATH Keywords: angular momentum-dependent potentials
zbMATH Keywords: three-dimensional Schrödinger equation
zbMATH Keywords: eigenfunctions
zbMATH Keywords: eigenenergies
zbMATH Keywords: scattering function
MaRDI profile type: Publication
full work available at URL: 0003-4916(85)90120-4
OpenAlex ID: W2042689438
cites work: A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
description: scientific article; zbMATH DE number 4065439