Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0404106,
title = {Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics},
author = {Giovanni Imponente and Giovanni Montani},
journal= {arXiv preprint arXiv:gr-qc/0404106},
year = {2009}
}
Comments
9 pages, 1 figure