The Inverse Scattering Problem

The Inverse Scattering Problem
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逆散射问题

DOI:
10.1007/978-3-642-88128-2_20
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发表时间:
1982
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
R. Newton
R. Newton
中科院分区:
--
文献类型:
--
作者:
R. Newton

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在通常的散射理论问题中,系统的哈密顿量或粒子间的力是已知的,而截面、极化等,将被计算并随后面对实验结果。“逆”问题是在相反的方向上提出的:给定某种或多或少直接从散射实验中获得的信息,我们要确定粒子间的力。或者在这个问题解决之前:给定的信息量是否足以唯一地确定这些力?如果不是,那是什么样的模糊?
In the usual scattering-theory problem the hamiltonian of the system or the interparticle forces are known and a cross section, polarization, etc., are to be calculated and subsequently confronted with experimental results. The “inverse” problem is posed in the opposite direction: given certain kinds of information obtained more or less directly from scattering experiments, we are to determine the interparticle forces. Or before this problem can be solved: Is the given amount of information sufficient to determine these forces uniquely? If not, what kinds of ambiquity are there?