Spectral analysis of N-body Schrodinger operators *
Spectral analysis of N-body Schrodinger operators *
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N 体薛定谔算子的谱分析*
DOI：
10.2307/1971301
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发表时间：
1981
影响因子：
4.9
通讯作者：
B. Simon
中科院分区：
文献类型：
--
作者：
P. Perry;I. Sigal;B. Simon
对于一个大类的两个身体的潜力，我们解决了两个主要问题的频谱分析的多粒子量子哈密顿量：明确地，我们证明了点谱位于一个封闭的可数集（并描述该集的特征值的子系统的哈密顿量），并没有奇异连续谱。我们做到这一点，通过扩展的三个机构的问题，N-体的问题的工作。
For a large class of two body potentials, we solve two of the main problems in the spectral analysis of multiparticle quantum Hamiltonians: explicitly, we prove that the point spectrum lies in a closed countable set (and describe that set in terms of the eigenvalues of Hamiltonians of subsystems) and that there is no singular continuous spectrum. We accomplish this by extending Mourre's work on three body problems to N-body problems.