Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
General Relativity and Quantum Cosmology
2008-12-18 v3 High Energy Physics - Theory
Abstract
The probability representation, in which cosmological quantum states are described by a standard positive probability distribution, is constructed for minisuperspace models selected by Noether symmetries. In such a case, the tomographic probability distribution provides the classical evolution for the models and can be considered an approach to select "observable" universes. Some specific examples, derived from Extended Theories of Gravity, are worked out. We discuss also how to connect tomograms, symmetries and cosmological parameters.
Cite
@article{arxiv.0706.3018,
title = {Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries},
author = {S. Capozziello and V. I. Man'ko and G. Marmo and C. Stornaiolo},
journal= {arXiv preprint arXiv:0706.3018},
year = {2008}
}