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arXiv 1004.3573quant-phmath-phmath.MP
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Daseinisation的物理解释

The physical interpretation of daseinisation

Andreas Doering

摘要:

我们提供了一个概念上的讨论和物理解释的一些相当抽象的结构在拓扑结构的物理方法。特别是,daseinisation过程中的投影算子和自伴算子的动机和解释从物理的角度来看。Daseinisation提供了量子理论的标准希尔伯特空间形式主义和量子理论的新的基于拓扑的方法之间的桥梁。作为一个例子,我们将明确地展示三维希尔伯特空间和自旋为1的粒子的自旋z算子的所有构造。这篇文章是一个同伴的文章由伊沙姆在同一卷。

英文摘要:

We provide a conceptual discussion and physical interpretation of some of the quite abstract constructions in the topos approach to physics. In particular, the daseinisation process for projection operators and for self-adjoint operators is motivated and explained from a physical point of view. Daseinisation provides the bridge between the standard Hilbert space formalism of quantum theory and the new topos-based approach to quantum theory. As an illustration, we will show all constructions explicitly for a three-dimensional Hilbert space and the spin-z operator of a spin-1 particle. This article is a companion to the article by Isham in the same volume.

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。

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