Quantum observables and recollapsing dynamics
Apr, 199423 pages
Published in:
- Class.Quant.Grav. 12 (1995) 1199-1220
e-Print:
- gr-qc/9404053 [gr-qc]
Report number:
- CGPG-94-4-5
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Abstract: (arXiv)
Within a simple quantization scheme, observables for a large class of finite dimensional time reparametrization invariant systems may be constructed by integration over the manifold of time labels. This procedure is shown to produce a complete set of densely defined operators on a physical Hilbert space for which an inner product is identified. Furthermore, many of these observables have a clear interpretation in the classical limit and we use this to demonstrate that, for class of minisuperspace models including LRS Bianchi IX and the Kantowski-Sachs model this quantization agrees with classical physics in predicting that such spacetimes recollapse.- quantum gravity
- time: reparametrization
- invariance: reparametrization
- quantization
- operator
- linear space: Hilbert space
- astrophysics: superspace
- space-time: Bianchi
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