Scattering theory for time-dependent Hamiltonians asymptotically constant in time
type: Item
instance of: scholarly article
title: Scattering theory for time-dependent Hamiltonians asymptotically constant in time
zbMATH Open document ID: 0592.35037
DOI: 10.1016/0022-247X(85)90349-X
author: H. Mitter
author: M. Perusch
author: Fritz Gesztesy
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: Unitarity of wave operators for the Schrödinger operators with time- dependent external electromagnetic field decaying asymptotically in space and time is proved. It represented some extension of previous results to include strong local singularities in electromagnetic field and uses a technique of uniform bounds for energy expectation values of semibound, time-dependent Hamiltonian. The results are applied to analyse the concept of photoionisation probability and its relations with geometrically characterized bound and scattering states.
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 3951090
zbMATH Keywords: scattering theory
zbMATH Keywords: wave operators
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: strong local singularities
zbMATH Keywords: photoionisation probability
reviewed by: E. D. Belokolos
MaRDI profile type: Publication
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full work available at URL: 0022-247x(85)90349-x
OpenAlex ID: W2067032957
description: scientific article; zbMATH DE number 3951090