On the uniqueness of inverse scattering for N-body systems
On the uniqueness of inverse scattering for N-body systems
复制标题
论N体系统逆散射的独特性
DOI：
10.1088/0266-5611/10/3/017
复制
发表时间：
1994
期刊：
影响因子：
2.1
通讯作者：
X. P. Wang
中科院分区：
文献类型：
--
作者：
X. P. Wang
研究了AVA(Xa)中具有短程相互作用的广义N体薛定谔算符P=-Delta+Sigma a的自由通道自由通道散射矩阵的高能渐近性，证明了所有的相互作用Va都是由高能自由通道自由通道散射矩阵唯一确定的.所处理的势比对势之和更一般，并且实际上包括了所有可能的k粒子与2<；或=k<；或=N的相互作用。
We study the high-energy asymptotics of the free-channel-free-channel scattering matrix for the generalized N-body Schrodinger operator P=- Delta + Sigma a in AVa(Xa) with short-range interactions and prove that all the interactions Va are uniquely determined by the free-channel-free-channel scattering matrix at high energies. The potentials treated are more general than the sums of pair potentials, and in fact include all possible k-particle interactions with 2<or=k<or=N.