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Schr\"odinger-like quantum dynamics in loop quantized black holes

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arxiv 1605.00969 v2 pith:FC3VUZQQ submitted 2016-05-03 gr-qc hep-th

classification gr-qchep-th
keywords parametrizedquantumobservablesodinger-likepictureschrstatesaccommodate
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We show, following a previous quantization of a vacuum spherically symmetric spacetime carried out in Ref. \cite{gop}, that this setting admits a Schr\"odinger-like picture. More precisely, the technique adopted there for the definition of parametrized Dirac observables (that codify local information of the quantum theory) can be extended in order to accommodate different pictures. In this new picture, the quantum states are parametrized in terms of suitable gauge parameters and the observables constructed out of the kinematical ones on this space of parametrized states.

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    In a loop quantum cosmology model with negative cosmological constant, semiclassical states built by integrating over all superselection sectors behave no differently from single-sector states, with differences below ...

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