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The quasi-classical limit of quantum scattering theory
Authors:Kenji Yajima
Institution:(1) Mathematical Research Institute, ETH-Zürich, Switzerland;(2) Department of Mathematics, University of Tokyo, Tokyo, Japan
Abstract:We study the quasi-classical limit of the quantum mechanical scattering operator for non-relativistic simple scattering system. The connection between the quantum mechanical and classical mechanical scattering theories is obtained by considering the asymptotic behavior as hstrok rarr 0 of the quantum mechanical scattering operator on the state exp(—ip·a/hstrok)f(p) in the momentum representation.Partially supported by Fûjû-kai Foundation and Sakkô-kai Foundation
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