量子层-结果概要
Quantum Sheaves - An Outline of Results
摘要：
在本文中，我们开始与发展的理论，在一个晶格，特别是量子晶格$\LL(\kH)$的封闭子空间的复希尔伯特空间$\kH$，和他们的相关的etale空间。即使在这种早期状态下，该理论在算子代数理论和量子力学的基础上也有有趣的应用。除此之外，我们可以证明经典观测量（拓扑空间上的连续函数）和量子观测量（希尔伯特空间上的自伴线性算子）是在相同的结构基础上的。
英文摘要：
In this paper we start with the development of a theory of presheaves on a lattice, in particular on the quantum lattice $\LL(\kH)$ of closed subspaces of a complex Hilbert space $\kH$, and their associated etale spaces. Even in this early state the theory has interesting applications to the theory of operator algebras and the foundations of quantum mechanics. Among other things we can show that classical observables (continuous functions on a topological space) and quantum observables (selfadjoint linear operators on a Hilbert space) are on the same structural footing.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
