Statut Confirmé Série COURS Domaines physics Date Vendredi 4 Mai 2012 Heure 10:00 Institut IPHT Salle Salle Claude Itzykson, Bât. 774, Orme des Merisiers Nom de l'orateur François David Prenom de l'orateur Addresse email de l'orateur Institution de l'orateur IPhT et CNRS Titre A quick introduction to the quantum formalism (1/4) Résumé Quantum mechanics - and its relativistic version: quantum field theory (QFT) - is immensely successful and unrivaled since 80 years. Yet its principles and its seemingly paradoxical aspects are further tested, and actively discussed and commented. The goal of these lectures is to present an introductory but hopefully coherent view of the main formalizations of quantum mechanics, of their interrelations, and of their theoretical foundation. The course is aimed at a non-specialized audience: graduate students and more advanced researchers, not necessarily theorists. The mathematical formalism will be presented and discussed at a simple and not-too-abstract level. This course will not attempt to cover the historical and philosophical aspects of quantum physics. The tentative plan of the lectures follows. \\ 1 - Reminders: \\ \hspace*{0.2cm} \textdegree \ Classical mechanics: states, observables \& probabilities \\ \hspace*{0.2cm} \textdegree \ The canonical and path integral formulations of quantum mechanics \& QFT \\ \hspace*{0.2cm} \textdegree \ Causality, reversibility \& locality \\ 2 - Algebraic quantum theory: \\ \hspace*{0.2cm} \textdegree \ The algebra of observables \\ \hspace*{0.2cm} \textdegree \ States \& real C*-algebras \\ \hspace*{0.2cm} \textdegree \ The GNS constructions, complex Hilbert spaces \\ \hspace*{0.2cm} \textdegree \ Algebraic QFT \& von Neumann algebras \\ 3 - Quantum logic'' formulations: \\ \hspace*{0.2cm} \textdegree \ The lattice of propositions \& orthomodular geometry \\ \hspace*{0.2cm} \textdegree \ Soler's \& Gleason's theorems, Hilbert spaces (again) \\ 4 - Quantum information (operational) formulations \\ 5 - A few words (depending on time) on: \\ \hspace*{0.2cm} \textdegree \ Quantum correlations: causality, non-localities and contextuality \\ \hspace*{0.2cm} \textdegree \ Quantum measurements \& the quantum-to-classical transition \\ \hspace*{0.2cm} \textdegree \ Interpretations of quantum mechanics versus alternative quantum theories \\ ... to say nothing of quantum gravity ... Numéro de preprint arXiv Commentaires Cours organisés en collaboration avec l'Ecole Doctorale de Physique de la Région Parisienne - ED 107. Fichiers attachés Affiche_David_2012-02-06-a4.pdf (137861 bytes)

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