Inhomogeneous Quantum Mixmaster: from Classical toward Quantum Mechanics

Details Inhomogeneous Quantum Mixmaster: from Classical toward Quantum Mechanics Inhomogeneous Quantum Mixmaster: from Classical toward Quantum Mechanics

2006-12-15

arxiv.org/abs/gr-qc/0612095v1

Class.Quant.Grav.24:387-404,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 6 figures, to appear on Classical and Quantum Gravity PACS: 04.20.Jb, 98.80.Dr, 83C

Scientific paper

10.1088/0264-9381/24/2/007

Starting from the Hamiltonian formulation for the inhomogeneous Mixmaster dynam- ics, we approach its quantum features through the link of the quasi-classical limit. We fix the proper operator-ordering which ensures that the WKB continuity equation overlaps the Liouville theorem as restricted to the configuration space. We describe the full quantum dynamics of the model in some details, providing a characterization of the (discrete) spectrum with analytic expressions for the limit of high occupation number. One of the main achievements of our analysis relies on the description of the ground state morphology, showing how it is characterized by a non-vanishing zero-point energy associated to the Universe anisotropy degrees of freedom

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