Distorted plane waves for the 3 body Schrödinger operator
type: Item
instance of: scholarly article
title: Distorted plane waves for the 3 body Schrödinger operator
zbMATH Open document ID: 0953.35122
author: Andrew Hassell
published in: Geometric and Functional Analysis. GAFA
publication date: 2000-07-17T00:00:00Z
review text: Distorted plane waves, incoming in the free region, are constructed for generalized three-body Schrödinger operators on \(\mathbb{R}^N\), under the assumption that the `two-body' potential functions are rapidly decreasing. The construction yields the form of the complete asymptotic expansion of the plane waves at infinity away from the collision planes, and gives an explicit construction and geometric characterization of the singularities of the free channel scattering matrix.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81U10
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 1443215
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: three-body scattering
MaRDI profile type: Publication
full work available at URL: s000390050001
OpenAlex ID: W2059992299
DOI: 10.1007/S000390050001
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description: scientific article; zbMATH DE number 1443215