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Galaxies 2018, 6(1), 8;

Wavepacket Evolution in Unimodular Quantum Cosmology

Faculty of Physics, Gravitational Physics, Boltzmanng. 5, University of Vienna, 1090 Vienna, Austria
Received: 29 November 2017 / Revised: 29 December 2017 / Accepted: 3 January 2018 / Published: 12 January 2018
(This article belongs to the Special Issue Cosmology and the Quantum Vacuum)
PDF [261 KB, uploaded 12 January 2018]


The unimodular theory of gravity admits a canonical quantization of minisuperspace models without the problem of time. We derive instead a kind of Schrödinger equation. We have found unitarily evolving wave packet solutions for the special case of a massless scalar field and a spatially flat Friedmann universe. We show that the longterm behaviour of the expectation values of the canonical quantities corresponds to the evolution of the classical variables. The solutions provided in an explicit example can be continued beyond the singularity at t = 0 , passing a finite minimal extension of the universe. View Full-Text
Keywords: unimodular quantum cosmology; unitary time-evolution; singularity; massless scalar field; stiff matter unimodular quantum cosmology; unitary time-evolution; singularity; massless scalar field; stiff matter

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Riahi, N. Wavepacket Evolution in Unimodular Quantum Cosmology. Galaxies 2018, 6, 8.

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