Quantum Observables and Recollapsing Dynamics

Preprint

6 February 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9404053

Abstract

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 and to provide reasonable results for simple test cases. Furthermore, many of these observables have a clear interpretation in the classical limit and we use this to demonstrate that, for a 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.

Keywords

REPARAMETRIZATION INVARIANT
TIME REPARAMETRIZATION
RECOLLAPSING DYNAMICS
QUANTUM OBSERVABLES
SIMPLE QUANTIZATION
QUANTIZATION SCHEME
HILBERT SPACE

All Related Versions

Version 1, 1994-04-27, ArXiv
Version 2, 1994-05-02, ArXiv
Version 3, 1994-09-21, ArXiv
Version 4, 1994-10-05, ArXiv
Version 5, 1995-02-06, ArXiv
Published version: Classical and Quantum Gravity, 12 (5), 1199.

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