Tomographic entropy and cosmology
General Relativity and Quantum Cosmology
2008-11-26 v1
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.
Cite
@article{arxiv.gr-qc/0612073,
title = {Tomographic entropy and cosmology},
author = {V. I. Man'ko and G. Marmoand C. Stornaiolo},
journal= {arXiv preprint arXiv:gr-qc/0612073},
year = {2008}
}
Comments
19 pages