Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation

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

arXiv comment9 pages in LaTex, translated by H.C. Rosu, thanks are due to R. Milson for sending me a xerocopy of the paper

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