Prof. Dr. Boris Zilber, University of Oxford, Vortrag: The geometric semantics of algebraic quantum mechanics

Wednesday, 25.05.2016 16:30 im Raum M5

Mathematik und Informatik

We approach the formalism of quantum mechanics from the logician point of view and treat the canonical commutation relations and the conventional calculus based on it as an algebraic syntax of quantum mechanics. We then aim to establish a geometric semantics of this syntax. This leads us to a geometric model, the space of states with the action of time evolution operators, which is a limit of finite models. The finitary nature of the space allows to give a precise meaning and calculate various classical quantum mechanical quantities.

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