Asymptotic completeness of 𝑁-particle long-range scattering

Sigal, I. M.; Soffer, A.

doi:10.1090/S0894-0347-1994-1233895-8

Asymptotic completeness of -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
DOI: https://doi.org/10.1090/S0894-0347-1994-1233895-8
MathSciNet review: 1233895
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Abstract: We prove asymptotic completeness for -particle long-range system with potentials vanishing as $O({\left\vert x \right\vert^{ - \mu }})$ , where $\mu \geq 1 - {2^{ - N - 2}}$ , at infinity.

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