The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators
type: Item
instance of: scholarly article
title: The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators
zbMATH Open document ID: 0809.34089
author: Akira Negishi
published in: Journal of Mathematics of Kyoto University
publication date: 1994-12-19T00:00:00Z
review text: The author considers the one-dimensional Schrödinger equation with a bounded potential satisfying certain conditions. Using the results of \textit{B. Simon} and \textit{T. Spencer} [Commun. Math. Phys. 125, No. 1, 113- 125 (1989; Zbl 0684.47010)], it is shown that the corresponding Hamiltonian does not have any negative absolutely continuous spectrum.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 701495
zbMATH Keywords: one-dimensional Schrödinger equation
zbMATH Keywords: bounded potential
zbMATH Keywords: Hamiltonian
zbMATH Keywords: absolutely continuous spectrum
reviewed by: Tuncay Aktosun
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250519020
OpenAlex ID: W1605965821
DOI: 10.1215/KJM/1250519020
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description: scientific article; zbMATH DE number 701495