Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
type: Item
instance of: scholarly article
title: Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
zbMATH Open document ID: 0659.35026
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74822
review text: We study the semi-classical asymptotic behavior as \(h\to 0\) of scattering amplitudes for Schrödinger operators \(-()h^ 2\Delta +V.\) The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4077820
zbMATH Keywords: semi-classical asymptotic behavior
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: non-trapping energy range
zbMATH Keywords: low energy behavior
author: Didier Robert
author: Hideo Tamura
reviewed by: Didier Robert
MaRDI profile type: Publication
OpenAlex ID: W2070141139
cites work: Q4076370
cites work: Q4192428
cites work: Q3310295
cites work: Low-energy parameters in nonrelativistic scattering theory
cites work: Finite total cross-sections in nonrelativistic quantum mechanics
cites work: Q3825409
cites work: Q3705827
cites work: Q4724190
cites work: A remark on the micro-local resolvent estimates for two body Schrödinger operators
cites work: Q3908198
cites work: QUASICLASSICAL ASYMPTOTICS OF THE SCATTERING AMPLITUDE FOR THE SCATTERING OF A PLANE WAVE BY INHOMOGENEITIES OF THE MEDIUM
cites work: Autour de l'approximation semi-classique. (Around semiclassical approximation)
cites work: Q3793107
cites work: Quasiclassical approximation in stationary scattering problems
cites work: Q3793108
cites work: Q4191141
cites work: Q3961345
DOI: 10.5802/AIF.1162
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4077820