论文标题
Schwinger的量子力学图片IV：组成和独立性
Schwinger's Picture of Quantum Mechanics IV: Composition and independence
论文作者
论文摘要
通过讨论系统，子系统及其独立性的密切相关的概念，可以继续对Schwinger对量子力学图片的描述。物理子系统具有整洁的代数描述，作为系统的schwinger群体的亚组。 Groupoids图片提供了系统组成的两个自然概念：直接和免费的类固醇产物，它们将深入分析以及它们的普遍特征。最后，将审查子系统独立性的概念，发现普通的独立性概念以及自由独立性的概念在Groupoid形式主义中找到了一个自然领域。本文所述的想法将通过使用EPRB实验来说明。可以观察到的，除了系统纠缠状态提供的不可分割性的概念外，还与无法将纠缠粒子识别为总系统子系统的固有的“不可分割性”相关。
The groupoids description of Schwinger's picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their independence. Physical subsystems have a neat algebraic description as subgroupoids of the Schwinger's groupoid of the system. The groupoids picture offers two natural notions of composition of systems: Direct and free products of groupoids, that will be analyzed in depth as well as their universal character. Finally, the notion of independence of subsystems will be reviewed, finding that the usual notion of independence, as well as the notion of free independence, find a natural realm in the groupoids formalism. The ideas described in this paper will be illustrated by using the EPRB experiment. It will be observed that, in addition to the notion of the non-separability provided by the entangled state of the system, there is an intrinsic `non-separability' associated to the impossibility of identifying the entangled particles as subsystems of the total system.
