Trimestre "Le Monde Quantique"

Superpositions, Transition Probabilities and Primitive Observables in Infinite Quantum Systems

by Prof. Detlev BUCHHOLZ (Université de Göttingen)

Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons

IHES

Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description
Concepts, familiar from pure states in quantum mechanics, such as "superposition" and "transition probability", are shown to be also meaningful for generic states in infinite systems, described by funnels of type I_{\infty} algebras. In the physically important case of states of Connes-von Neumann type III1, these concepts also have a physically significant operational interpretation in terms of primitive observables. (Joint work with Erling Störmer)

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