dorsal/arxiv
View SchemaCoherent State Approach to Quantum Clocks
| Authors | M. C. Ashworth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703029 |
| URL | https://arxiv.org/abs/quant-ph/9703029 |
| DOI | 10.1103/PhysRevD.58.104008 |
| Journal | Phys.Rev. D58 (1998) 104008 |
Abstract
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.''
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"abstract": "The ``problem of time\u0027\u0027 has been a pressing issue in quantum gravity for some\ntime. To help understand this problem, Rovelli proposed a model of a two\nharmonic oscillators system where one of the oscillators can be thought of as a\n``clock\u0027\u0027 for the other oscillator thus giving a natural time reference frame\nfor the system. Recently, the author has constructed an explicit form for the\ncoherent states on the reduced phase space of this system in terms of Klauder\u0027s\nprojection operator approach. In this paper, by using coherent state\nrepresentations and other tools from coherent state quantization, I investigate\nthe construction of gauge invariant operators on this reduced phase space, and\nthe ability to use a quantum oscillator as a ``clock.\u0027\u0027",
"arxiv_id": "quant-ph/9703029",
"authors": [
"M. C. Ashworth"
],
"categories": [
"quant-ph",
"gr-qc"
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"doi": "10.1103/PhysRevD.58.104008",
"journal_ref": "Phys.Rev. D58 (1998) 104008",
"title": "Coherent State Approach to Quantum Clocks",
"url": "https://arxiv.org/abs/quant-ph/9703029"
},
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