Abstract
We discuss the fundamentals of classical particle scattering of a two body system in forces which are 0 (r−2−ε) at infinity along with their Lipshitz constants. We prove asymptotic completeness for this two-body case. Of particular interest is the fact that in the absence of control on Lipshitz constants at ∞, two solutions of the interacting equation may be asymptotic to the same free solution at −∞.
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Research partially supported by U.S. Air Force under contract AF49(638) 1545.
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Simon, B. Wave operators for classical particle scattering. Commun.Math. Phys. 23, 37–48 (1971). https://doi.org/10.1007/BF01877595
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DOI: https://doi.org/10.1007/BF01877595