Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation
History and Philosophy of Physics
2007-05-23 v1
Abstract
Original English Summary. - A systematic method of constructing potentials, for which the one-variable Schroedinger equation can be solved in terms of the hypergeometric (HGM) function, is presented. All the potentials, obtained by energy-independent transformations of the HGM equation, are determined together with eigenvalues and eigenfunctions. A class of potentials derived from the confluent HGM equation is found by means of a limit process
Keywords
Cite
@article{arxiv.physics/9907032,
title = {Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation},
author = {G. A. Natanzon},
journal= {arXiv preprint arXiv:physics/9907032},
year = {2007}
}
Comments
9 pages in LaTex, translated by H.C. Rosu, thanks are due to R. Milson for sending me a xerocopy of the paper