Quantization as a categorical equivalence

被引：2
|
作者：
Feintzeig, Benjamin H. [1 ]
机构：
[1] Univ Washington, Dept Philosophy, Seattle, WA 98105 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2024年 / 114卷 / 01期
基金：
美国国家科学基金会;
关键词：
Strict deformation quantization; C*-algebras; Weyl algebra; Rieffel quantization; Categorical equivalence; DEFORMATION QUANTIZATION; CLASSICAL LIMIT; ALGEBRAS;
D O I：
10.1007/s11005-023-01765-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are "almost inverse" to each other. These functors map between categories of algebraic structures for classical and quantum physics, establishing a categorical equivalence.
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页数：20
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