Relative time-delay for perturbations of elliptic operators and semiclassical asymptotics
type: Item
instance of: scholarly article
title: Relative time-delay for perturbations of elliptic operators and semiclassical asymptotics
zbMATH Open document ID: 0813.35073
published in: Journal of Functional Analysis
publication date: 1994-12-20T00:00:00Z
review text: The main goal of this article is to compare two long-range perturbations of constant coefficients operators on \(\mathbb{R}^ n\) such that their difference is short range. Typical examples are semi-classical Schrödinger Hamiltonians such that the difference of the corresponding potentials is decreasing sufficiently rapidly at \(\infty\). In this context the average time-delay depending on the energy \(\lambda\) and on the semiclassical parameter \(h\) is well defined and the author studies its asymptotic behavior in the high-energy ``régime'' and in the semi- classical ``régime''.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 704518
zbMATH Keywords: high-energy regime
zbMATH Keywords: semi-classical regime
zbMATH Keywords: semi-classical Schrödinger Hamiltonians
zbMATH Keywords: average time-delay
author: Didier Robert
reviewed by: Bernard Helffer
MaRDI profile type: Publication
full work available at URL: jfan.1994.1141
OpenAlex ID: W2089168226
DOI: 10.1006/JFAN.1994.1141
Recommended article: Q5120415
Recommended article: Delay perturbed evolution problems involving time dependent subdifferential operators
Recommended article: Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes
Recommended article: Q3487902
Recommended article: Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials
Recommended article: Time-dependent scattering theory for elliptic differential operators
Recommended article: Q3158705
Recommended article: Q3601965
Recommended article: Well-posedness and stability for semilinear wave-type equations with time delay
Recommended article: Q5705580
description: scientific article; zbMATH DE number 704518