Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Asymptotic completeness
type: Item
instance of: scholarly article
title: Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Asymptotic completeness
zbMATH Open document ID: 0761.35079
author: Hideo Tamura
published in: Osaka Journal of Mathematics
publication date: 1993-01-16T00:00:00Z
review text: The author proves asymptotic completeness of three-particle systems in a constant electric field. The pair potentials of interaction are assumed to decay at infinity like \(| x|^{-\rho}\) with \(\rho>1\) or \(\rho>1/2\), depending if there exists a two-particle subsystem having a zero energy resonance, or not. The proof is based on Mourre commutator method and propagation estimates.
reviewed by: André Martinez
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 81U10
zbMATH DE Number: 93866
zbMATH Keywords: Mourre commutator method
zbMATH Keywords: propagation estimates
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 93866