Dispersive charge transfer model with long-range quantum interactions
type: Item
instance of: scholarly article
title: Dispersive charge transfer model with long-range quantum interactions
zbMATH Open document ID: 0913.35112
author: Lech Zielinski
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-03-24T00:00:00Z
review text: The author proves long-range asymptotic completeness for the dispersive charge transfer model, i.e., for a quantum particle in the field of \(N\) classical particles following assigned trajectories, where the dispersion relation of the quantum particle may be taken from a fairly large class of elliptic symbols containing the relativistic \(p(\xi)=(| \xi| ^2+1)^{1/2}\). This is a continuation of the author's work on scattering for the charge transfer model which he previously studied in the case of short-range interactions. His result may be regarded as a step toward proving asymptotic completeness for relativistic \(N\)-particle quantum systems. For the proof recent methods from \(N\)-particle quantum scattering such as propagation estimates are employed. Previously the charge transfer model was investigated, e.g., by Yashima, Hagedorn, Wüller, and Graf.
reviewed by: M. Griesemer
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81U10
zbMATH DE Number: 1115459
zbMATH Keywords: charge transfer model
zbMATH Keywords: long-range interaction
zbMATH Keywords: asymptotic completeness
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5701
OpenAlex ID: W1986899578
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DOI: 10.1006/JMAA.1997.5701
description: scientific article; zbMATH DE number 1115459