Minimal escape velocities for unitary evolution groups
type: Item
instance of: scholarly article
title: Minimal escape velocities for unitary evolution groups
zbMATH Open document ID: 1060.81059
author: Serge Richard
published in: Annales Henri Poincaré
publication date: 2004-12-16T00:00:00Z
review text: Starting from a strict Mourre inequality, the minimal escape velocity for a unitary evolution group in a Hilbert space is derived under some minimal conditions. If the self-adjoint generator \(H\) of this evolution is a Schrodinger operator and if the conjugate operator is the generator of dilations, then it follows that \(H\) has very good and easily understandable propagation properties. The striking fact is that no proof of the absence of singularly continuous spectrum of \(H\) is available yet under such weak conditions.
Mathematics Subject Classification ID: 81U10
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 2123136
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: evolution
MaRDI profile type: Publication
full work available at URL: s00023-004-0185-5
OpenAlex ID: W1987988186
DOI: 10.1007/S00023-004-0185-5
description: scientific article; zbMATH DE number 2123136