STATISTICS ON NETWORKS
STATISTICS ON NETWORKS
复制标题
网络统计数据
DOI：
10.1142/s0217751x9200209x
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发表时间：
1992
影响因子：
1.6
通讯作者：
E. Ercolessi
中科院分区：
文献类型：
--
作者：
A. P. Balachandran;E. Ercolessi
一维网络是拓扑空间的一个很好的例子，它不是流形，但却有着有趣的量子物理学。它们在分子和晶体的自由电子模型中具有重要意义。它们也以制造的介观网络的形式出现。本文从拓扑学和算符理论的角度回顾了网络上的单粒子量子物理，并在此基础上开始了网络上全同粒子的研究。它是建立在其范围和复杂性的网络上的可用统计数据的竞争对手的丰富性的统计选项在两个维度。我们对待两个粒子的统计简单的网络与细节，照顾到复盖运营商的理论问题有关的多个连接，也是由于一个通用的网络和流形之间的基本拓扑差异。
One-dimensional networks are excellent examples of topological spaces which are not manifolds and which admit interesting quantum physics. They are of importance in the free electron model for molecules and crystals. They also occur as fabricated mesoscopic networks. We review single-particle quantum physics on networks from topological and operator theoretic points of view and then initiate study of identical particles on networks. It is established that the available statistics on networks in its range and complexity rival the richness of statistical options in two dimensions. We treat two-particle statistics on simple networks with detail, taking care to cover operator theoretic issues pertaining to multiple connectivity and also those due to basic topological differences between a generic network and a manifold.