Starting from the Hamiltonian formulation for the inhomogeneous Mixmaster dynamics, 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 detail, 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 with the universe anisotropy degrees of freedom. © 2007 IOP Publishing Ltd.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Benini, R., & Montani, G. (2007). Inhomogeneous quantum Mixmaster: From classical towards quantum mechanics. Classical and Quantum Gravity, 24(2), 387 - 404. . https://doi.org/10.1088/0264-9381/24/2/007