Averaged wave operators in the problem of scattering by a Brownian particle
type: Item
instance of: scholarly article
title: Averaged wave operators in the problem of scattering by a Brownian particle
zbMATH Open document ID: 0853.35085
DOI: 10.1007/BF01101129
author: S. E. Cheremshantsev
published in: Journal of Soviet Mathematics
publication date: 1992-06-25T00:00:00Z
review text: The author proves the existence of the wave operator for the Schrödinger equation in \(L^2(\mathbb{R}^3)\): \[ i {\partial\psi\over \partial t}= - \Delta \psi+ q(\cdot)\psi, \quad \psi|_{t= 0}= \psi_0 \] under suitable conditions on the potential \(q\).
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 3560
zbMATH Keywords: existence of the wave operator
MaRDI profile type: Publication
cites work: Existence of solutions for Schrödinger evolution equations
cites work: Q3909512
cites work: Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
description: scientific article; zbMATH DE number 3560