标题： 量子钟的相干态方法 显示英文标题

标题： Coherent State Approach to Quantum Clocks

摘要： “时间问题”在量子引力中已经是一个长期存在的问题。 为了帮助理解这个问题，罗韦利提出了一个两个谐振子系统的模型，其中一个振子可以被视为另一个振子的“时钟”，从而为系统提供了一个自然的时间参考系。 最近，作者已经用克劳德的投影算子方法，构造了这个系统约化相空间上相干态的显式形式。 在本文中，通过使用相干态表示和其他来自相干态量子化的工具，我研究了在这个约化相空间上规范不变算子的构造，以及使用量子振子作为“时钟”的能力。 显示英文摘要

摘要： The ``problem of time'' has been a pressing issue in quantum gravity for some time. To help understand this problem, Rovelli proposed a model of a two harmonic oscillators system where one of the oscillators can be thought of as a ``clock'' for the other oscillator thus giving a natural time reference frame for the system. Recently, the author has constructed an explicit form for the coherent states on the reduced phase space of this system in terms of Klauder's projection operator approach. In this paper, by using coherent state representations and other tools from coherent state quantization, I investigate the construction of gauge invariant operators on this reduced phase space, and the ability to use a quantum oscillator as a ``clock.''