The quantum N-body problem
The quantum N-body problem
复制标题
量子 N 体问题
DOI：
10.1063/1.533319
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发表时间：
2000
影响因子：
1.3
通讯作者：
I. Sigal
中科院分区：
文献类型：
--
作者：
W. Hunziker;I. Sigal
这个选择性的审查是书面介绍的数学理论薛定谔方程的N粒子。这些系统的特征是位形空间中的势的簇性质，它们用简单的几何语言表示。在过去的40年中开发的方法来处理这一主要方面的描述，充分证明了一些基本的，现在经典的结果。中心主题是N体哈密顿量的光谱理论和束缚态和散射态的时空和相空间分析之间的相互作用。
This selective review is written as an introduction to the mathematical theory of the Schrodinger equation for N particles. Characteristic for these systems are the cluster properties of the potential in configuration space, which are expressed in a simple geometric language. The methods developed over the last 40 years to deal with this primary aspect are described by giving full proofs of a number of basic and by now classical results. The central theme is the interplay between the spectral theory of N-body Hamiltonians and the space–time and phase-space analysis of bound states and scattering states.