Semiclassical states for quantum cosmology
arXiv:gr-qc/0607097 · doi:10.1103/PhysRevD.75.024014
Abstract
In a metric variable based Hamiltonian quantization, we give a prescription for constructing semiclassical matter-geometry states for homogeneous and isotropic cosmological models. These "collective" states arise as infinite linear combinations of fundamental excitations in an unconventional "polymer" quantization. They satisfy a number of properties characteristic of semiclassicality, such as peaking on classical phase space configurations. We describe how these states can be used to determine quantum corrections to the classical evolution equations, and to compute the initial state of the universe by a backward time evolution.
13 pages
References in corpus (15)
- Quantum Spin Dynamics (QSD)
- Quantum gravity, shadow states, and quantum mechanics
- Gauge Field Theory Coherent States (GCS) : I. General Properties
- Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
- The Inverse Scale Factor in Isotropic Quantum Geometry
- Gauge Field Theory Coherent States (GCS) : III. Ehrenfest Theorems
- Loop Quantum Cosmology IV: Discrete Time Evolution
- Complementarity of representations in quantum mechanics
- Polymer and Fock representations for a Scalar field
- On Singularity Resolution in Quantum Gravity
- Quantum resolution of black hole singularities
- Polymer state approximations of Schroedinger wave functions
- Quantum black holes from null expansion operators
- Semiclassical States in Quantum Cosmology: Bianchi I Coherent States
- Some remarks on singularities in quantum cosmology
Cited by in corpus (19)
- Loop Quantum Cosmology: A Status Report
- Robustness of key features of loop quantum cosmology
- Polymer Quantum Mechanics and its Continuum Limit
- Is loop quantization in cosmology unique?
- Classical collapse to black holes and quantum bounces: A review
- On the fate of quantum black holes
- Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
- Complete, Single-Horizon Quantum Corrected Black Hole Spacetime
- Modified general relativity as a model for quantum gravitational collapse
- Background independent quantization and wave propagation
- Thermodynamics and phases in quantum gravity
- Dynamics and entanglement in spherically symmetric quantum gravity
- Some surprising implications of background independence in canonical quantum gravity
- Polymer Quantum Dynamics of the Taub Universe
- Quantum dynamics of the Einstein-Rosen wormhole throat
- Relativistic Planck-scale polymer
- Revisiting the quantum scalar field in spherically symmetric quantum gravity
- Quantum cosmology as a lattice in a box
- Time, vacuum energy, and the cosmological constant