论文标题
通过严格量化无限量的经典限制
Classical Limits of Unbounded Quantities by Strict Quantization
论文作者
论文摘要
本文将C* - 代数严格量化的工具扩展到分析量子理论中无限量的经典限制。我们首先在有限系统的简单情况下介绍该方法。然后,我们应用这种方法来分析剂量量子场理论中无界数量的经典限制,并特别注意数字操作员和汉密尔顿人。这些方法以代表性无关的方式采用经典限制,因此允许一个方法比较在不相等的Fock空间表示中出现的数量。
This paper extends the tools of C*-algebraic strict quantization toward analyzing the classical limits of unbounded quantities in quantum theories. We introduce the approach first in the simple case of finite systems. Then we apply this approach to analyze the classical limits of unbounded quantities in bosonic quantum field theories with particular attention to number operators and Hamiltonians. The methods take classical limits in a representation-independent manner and so allow one to compare quantities appearing in inequivalent Fock space representations.