Riccardo Benini and Giovanni Montani 2007 Class. Quantum Grav. 24 387 doi:10.1088/0264-9381/24/2/007
Inhomogeneous quantum Mixmaster: from classical towards quantum mechanics
Riccardo Benini1,2 and Giovanni Montani2,3
Show affiliationsStarting 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.
- PACS
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03.65.Sq Semiclassical theories and applications
04.60.Ds Canonical quantization
- MSC
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85A40 Cosmology (For relativistic cosmology, see 83F05)
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
70H20 Hamilton-Jacobi equations
81Q20 Semiclassical techniques including WKB and Maslov methods
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 2 (21 January 2007)
Received 8 June 2006, in final form 23 October 2006
Published 8 December 2006
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Inhomogeneous quantum Mixmaster: from classical towards quantum mechanics
Riccardo Benini and Giovanni Montani 2007 Class. Quantum Grav. 24 387
-
Cosmic rays at the highest energies and the Pierre Auger Observatory
Johannes Blümer (for the Pierre Auger Collaboration) 2003 J. Phys. G: Nucl. Part. Phys. 29 867
-
Theory and practice in low-energy electron excitation of the
levels of xenon
S Nakazaki et al 1997 J. Phys. B: At. Mol. Opt. Phys. 30 L59
-
Structural, magnetic and transport properties of Co2FeSi Heusler films
H Schneider et al 2007 J. Phys. D: Appl. Phys. 40 2613
-
Cluster-Galaxy Correlations in Cold Dark Matter Models
Manuel E. Merchán et al. 1998 ApJ 497 32
-
A study on the AC and transient electrical conduction in evaporated thin potassium iodide films
M N Pisanias et al 1990 J. Phys. D: Appl. Phys. 23 903
-
MARS, a new beamline for radioactive matter studies at SOLEIL
Pier Lorenzo Solari et al 2009 J. Phys.: Conf. Ser. 190 012042
-
Gravitational collapse of rotating pancakes
J D Barrow and P Saich 1993 Class. Quantum Grav. 10 79
-
Non-Abelian gravitating solitons with negative cosmological constant
Peter Breitenlohner et al 2004 Class. Quantum Grav. 21 1667
-
Partial Lyapunov exponents in tangent space dynamics
A Campa et al 1992 J. Phys. A: Math. Gen. 25 1915
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