Chataignier, Leonardo ORCID: 0000-0001-6691-3695 (2020). Construction of quantum Dirac observables and the emergence of WKB time. Phys. Rev. D, 101 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029
Full text not available from this repository.Abstract
We describe a method of construction of gauge-invariant operators (Dirac observables or evolving constants of motion) from the knowledge of the eigenstates of the gauge generator in time-reparametrization invariant mechanical systems. These invariant operators evolve unitarily with respect to an arbitrarily chosen time variable. We emphasize that the dynamics is relational, both in the classical and quantum theories. In this framework, we show how the emergent Wentzel-KramersBrillouin time often employed in quantum cosmology arises from a weak-coupling expansion of invariant transition amplitudes, and we illustrate an example of singularity avoidance in a vacuum Bianchi I (Kasner) model.
Item Type: | Journal Article | ||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-338328 | ||||||||
DOI: | 10.1103/PhysRevD.101.086001 | ||||||||
Journal or Publication Title: | Phys. Rev. D | ||||||||
Volume: | 101 | ||||||||
Number: | 8 | ||||||||
Date: | 2020 | ||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||
Place of Publication: | COLLEGE PK | ||||||||
ISSN: | 2470-0029 | ||||||||
Language: | English | ||||||||
Faculty: | Unspecified | ||||||||
Divisions: | Unspecified | ||||||||
Subjects: | no entry | ||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/33832 |
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