Tomographic analysis of the De Sitter model in quantum and classical cosmology
arXiv:1810.04616 · doi:10.1142/S0219887819500129
Abstract
The importance of the tomographic approach is that either in quantum mechanics as in classical mechanics the state of a physical system is expressed with the same family of functions, the tomograms. The extension of this procedure to quantum cosmology is straightforward. But instead of using the tomographic representation, we use tomograms to analyze the properties of the quantum and classical universes, starting from the wave functions in quantum cosmology and the phase space distribution in classical cosmology. In this paper we resume the properties of the tomographic approach introduced in previous papers. Then we study and discuss the properties of the initial conditions introduced by Hartle and Hawking and by Vilenkin and Linde and we study their classical transition. It results that a possible reason for the quantum to classical transition is the decay of the cosmological constant from the Planck scale to the present one. So that the Cosmological Constant Problem becomes a crucial topic in study of the evolution of the universe.
arXiv commentSubmitted to International Journal of Geometric Methods in Modern Physics (IJGMMP)
References in corpus (13)
- The Dynamics of General Relativity
- Symplectic tomography as classical approach to quantum systems
- An introduction to the tomographic picture of quantum mechanics
- Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
- Quantum cosmology: a review
- Reconstructing the density operator by using generalized field quadratures
- Deformation quantization of cosmological models
- Introductory Lectures on Quantum Cosmology (1990)
- Tomograms in the Quantum-Classical transition
- Radon transform of Wheeler-De Witt equation and tomography of quantum states of the universe
- Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
- A tomographic description for classical and quantum cosmological perturbations
- Tomographic entropy and cosmology