Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics

Details Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics

2004-04-26

arxiv.org/abs/gr-qc/0404106v1

Int.J.Mod.Phys. D12 (2003) 977-984

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure

Scientific paper

10.1142/S0218271803003499

Within a cosmological framework, we provide a Hamiltonian analysis of the Mixmaster Universe dynamics on the base of a standard Arnowitt-Deser-Misner approach, showing how the chaotic behavior characterizing the evolution of the system near the cosmological singularity can be obtained as the semiclassical limit of the canonical quantization of the model in the same dynamical representation. The relation between this intrinsic chaotic behavior and the indeterministic quantum dynamics is inferred through the coincidence between the microcanonical probability distribution and the semiclassical quantum one.

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