COT5 - Quantum Cosmology and Quantum Effects in the Early Universe |
Speaker_ |
Benini, Riccardo |
Co-autors |
Giovanni Montani |
Talk _ |
Classical and Quantum Aspects of the Inhomogeneous Mixmaster Chaoticity |
Abstract _ |
The dynamics of the generic inhomogeneous Mixmaster is analyzed via an ADM-reduction of the Hamiltonian constraints and adopting Misner-Chitre'-like variables. We establish that, near the Big-Bang, the evolution of the system is isomorphic to a billiard on a Lobachevski plane and the corresponding microcanonical distribution is calculated. The comparison between the continuity equation on the ensemble and the WKB semi-classical limit of the Schr\"odinger equation fixes the normal ordering procedure. Finally, the features of the full quantum dynamics, with particular attention to the ground state level, are outlined. |