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

IF 0.7 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2025-10-17 DOI:10.1134/S1234567825030097

Erik Skibsted

引用次数: 0

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.

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近程\(N\) -体系统的渐近完备性

我们回顾了Yafaev关于具有短程势相互作用的粒子系统的渐近完备性的方法。由此产生的理论是基于具有时间无关（大多数有界）观测值的换向子的计算，从而产生足够的加藤平滑界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.