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Asymptotic completeness of $N$-particle long-range scattering

Authors: I. M. Sigal and A. Soffer
Journal: J. Amer. Math. Soc. 7 (1994), 307-334
MSC: Primary 81U10; Secondary 47A40, 47N50
MathSciNet review: 1233895
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Abstract: We prove asymptotic completeness for $N$-particle long-range system with potentials vanishing as $O({\left | x \right |^{ - \mu }})$, where $\mu \geq 1 - {2^{ - N - 2}}$, at infinity.

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Article copyright: © Copyright 1994 American Mathematical Society