Dynamic Symmetries and Entropic Inequalities in the Probability Representation of Quantum Mechanics
arXiv:1102.2497 · doi:10.1063/1.3555483
Abstract
The probability representation of quantum and classical statistical mechanics is discussed. Symplectic tomography, center-of-mass tomography, and spin tomography are studied. The connection of tomographic probabilities with dynamic symmetries like symplectic group is considered. Entropic uncertainty relations and inequalities for spin tomograms are reviewed.
32 pages, 2 figures, PDF, the article is based on lectures given by the authors at the XL Latin American School of Physics "Symmetries in Physics" in memory of Marcos Moshinsky and devoted to the tomographic-probability representation of quantum mechanics