Quasi-classical and Quantum properties of the Mixmaster model

Details Quasi-classical and Quantum properties of the Mixmaster model Quasi-classical and Quantum properties of the Mixmaster model

Jan 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc..966..227b&link_type=abstract

RELATIVISTIC ASTROPHYSICS: 4th Italian-Sino Workshop. AIP Conference Proceedings, Volume 966, pp. 227-234 (2008).

Astronomy and Astrophysics

Astrophysics

Quantum Cosmology, Mathematical And Relativistic Aspects Of Cosmology, Quantum Mechanics, Singularities And Cosmic Censorship

Scientific paper

In this talk we discuss several properties of the Mixmaster model. The ADM (Arnowitt-Deser-Misner) Hamiltonian framework is here adopted, and the dynamics reduced to the physical degrees of freedom. On the quasi-classical level, the Hamilton-Jacobi equation and the mechanical-statistical point of view are discussed in some detail; the operator-ordering to be used on the quantum level is also fixed. A full description of the Schroedinger dynamics is then provided, and the eigenfunctions, the energy levels and the properties of the spectrum are analyzed both analytically and numerically.

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