Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness
type: Item
instance of: scholarly article
title: Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness
zbMATH Open document ID: 0831.35124
author: Hideo Tamura
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-02-25T00:00:00Z
review text: The goal of the paper is to develop the scattering theory for the Hamiltonian \(H = - \Delta - \langle E,x \rangle + V\), where \(V\) is a multiparticle potential. Compared to the problem without the electric potential \(- \langle E,x \rangle\), in the case considered the scattering theory is modified (and, actually, gets somewhat simpler) because charged particles are carried along the direction of the field.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 81U10
zbMATH DE Number: 548933
zbMATH Keywords: scattering theory
zbMATH Keywords: Hamiltonian
zbMATH Keywords: multiparticle potential
reviewed by: Dmitri Yafaev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195166579
OpenAlex ID: W2044360203
cites work: Spectral and scattering theory of Schrödinger operators related to the Stark effect
cites work: Asymptotic completeness for N-body short-range quantum systems: A new proof
cites work: Unitary equivalence of Stark Hamiltonians
cites work: Asymptotic completeness for a new class of Stark effect Hamiltonians
cites work: Q3977205
cites work: Wave operators and similarity for some non-selfadjoint operators
cites work: ASYMPTOTIC COMPLETENESS OF N-BODY WAVE OPERATORS I: SHORT-RANGE QUANTUM SYSTEMS
cites work: Absence of singular continuous spectrum for certain self-adjoint operators
cites work: Q3310990
cites work: Q4191141
cites work: The N-particle scattering problem: asymptotic completeness for short- range systems
cites work: Asymptotic completeness for n–body schrödinger operators with short–range interactions
cites work: Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Asymptotic completeness
cites work: Q3470923
cites work: Q3138569
cites work: Q3866506
DOI: 10.2977/PRIMS/1195166579
description: scientific article; zbMATH DE number 548933