Dynamic Symmetries and Entropic Inequalities in the Probability Representation of Quantum Mechanics

Physics – Quantum Physics

Scientific paper

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32 pages, 2 figures, PDF, the article is based on lectures given by the authors at the XL Latin American School of Physics "Sy

Scientific paper

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.

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