Tomographic entropy and cosmology
arXiv:gr-qc/0612073 · doi:10.1007/s10714-007-0571-7
Abstract
The probability representation of quantum mechanics including propagators and tomograms of quantum states of the universe and its application to quantum gravity and cosmology are reviewed. The minisuperspaces modeled by oscillator, free pointlike particle and repulsive oscillator are considered. The notion of tomographic entropy and its properties are used to find some inequalities for the tomographic probability determining the quantum state of the universe. The sense of the inequality as a lower bound for the entropy is clarified.
19 pages
References in corpus (12)
- Alternative commutation relations, star products and tomography
- On the Holographic Principle in a Radiation Dominated Universe
- Reconstructing the density operator by using generalized field quadratures
- Radiation-Dominated Quantum Friedmann Models
- Tomograms and other transforms. A unified view
- New uncertainty relations for tomographic entropy: Application to squeezed states and solitons
- Wave packets and initial conditions in quantum cosmology
- Solving for the dynamics of the universe
- Probability representation in quantum field theory
- Radon transform of Wheeler-De Witt equation and tomography of quantum states of the universe
- Cosmological dynamics in tomographic probability representation
- Deformation Quantisation of Gravity
Cited by in corpus (4)
- Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
- Emergent classical universes from initial quantum states in a tomographical description
- A tomographic description for classical and quantum cosmological perturbations
- Tomographic analysis of the De Sitter model in quantum and classical cosmology