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

G. A. Natanzon
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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

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G. A. Natanzon. 1999-07-20. Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation. https://arxiv.org/abs/physics/9907032

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