Low-energy chain of resonances for three-dimensional Schrödinger operator with nearly Coulomb potential
type: Item
instance of: scholarly article
title: Low-energy chain of resonances for three-dimensional Schrödinger operator with nearly Coulomb potential
zbMATH Open document ID: 0809.34090
author: Marianna A. Shubov
published in: Journal of Differential Equations
publication date: 1994-11-29T00:00:00Z
review text: The author considers the radial Schrödinger equation when the Coulomb potential is perturbed by a compactly supported nonnegative potential with a finite and positive first moment. It is shown that there exists a set of resonances [\textit{R. G. Newton}, Scattering theory of waves and particles, 2nd, ed., Springer-Verlag, New York (1982; Zbl 0496.47011)] converging to zero. The result is obtained by studying the low energy behavior of the Jost functions corresponding to different angular momenta and by using the author's earlier result [J. Math. Anal. Appl. 181, No. 3, 600-625 (1994)].
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 696885
zbMATH Keywords: radial Schrödinger equation
zbMATH Keywords: Coulomb potential
zbMATH Keywords: Jost functions
reviewed by: Tuncay Aktosun
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1145
OpenAlex ID: W2005960663
DOI: 10.1006/JDEQ.1994.1145
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description: scientific article; zbMATH DE number 696885