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Quantum Observables and Recollapsing Dynamics

Donald Marolf
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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.

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Donald Marolf. 1995-02-06. Quantum Observables and Recollapsing Dynamics. https://doi.org/10.1088/0264-9381%2F12%2F5%2F011

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