Abstract <p> We review Yafaev’s approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The resulting theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds. </p>

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Asymptotic Completeness for Short-Range \(N\)-Body Systems Revisited

  • Erik Skibsted

摘要

Abstract

We review Yafaev’s approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The resulting theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds.