Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume
Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume
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量子气体的约简密度矩阵。
DOI：
10.1063/1.1704275
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发表时间：
1965
影响因子：
1.3
通讯作者：
J. Ginibre
中科院分区：
文献类型：
--
作者：
J. Ginibre
利用Banach空间技术研究了量子气体的约化密度矩阵。对于适当限制的相互作用，它们被证明是活动的解析函数。当系统的体积变得无限大时，它们在某种意义上趋向于定义明确的极限，对于这些极限，同样的分析性属性也成立。结果表明，维里展开在原点附近收敛。
The reduced density matrices for quantum gases are studied by Banach space techniques. For suitably restricted interactions, they are shown to be analytic functions of the activity. As the volume of the system becomes infinite, they tend in some sense to well‐defined limits for which the same analyticity properties hold. As a consequence, the virial expansion is shown to be convergent in a neighborhood of the origin.