Propagation of states in dilation analytic potentials and asymptotic completeness

Peter A. Perry

doi:10.1007/BF01208898

Propagation of states in dilation analytic potentials and asymptotic completeness

Peter A. Perry

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We estimate the space-time behavior of scattering states for two-body Schrödinger operators with smooth, dilation analytic potentials. We use our estimates to give a simple proof of asymptotic completeness for a class of long-range potentials, including the Coulomb potential plus a fairly general short-range perturbation.

Original language	English
Pages (from-to)	243-259
Number of pages	17
Journal	Communications in Mathematical Physics
Volume	81
Issue number	2
DOIs	https://doi.org/10.1007/BF01208898
State	Published - Jun 1981

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01208898

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title = "Propagation of states in dilation analytic potentials and asymptotic completeness",

abstract = "We estimate the space-time behavior of scattering states for two-body Schr{\"o}dinger operators with smooth, dilation analytic potentials. We use our estimates to give a simple proof of asymptotic completeness for a class of long-range potentials, including the Coulomb potential plus a fairly general short-range perturbation.",

author = "Perry, {Peter A.}",

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AB - We estimate the space-time behavior of scattering states for two-body Schrödinger operators with smooth, dilation analytic potentials. We use our estimates to give a simple proof of asymptotic completeness for a class of long-range potentials, including the Coulomb potential plus a fairly general short-range perturbation.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Propagation of states in dilation analytic potentials and asymptotic completeness

Abstract

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