On the geometric semantics of algebraic quantum mechanics
Location: Hill 705
Date & time: Friday, 30 September 2016 at 4:00PM - 4:11PM
Boris Zilber (Oxford) , Oxford: 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 us to give a precise meaning and calculate various classical quantum mechanical quantities.
This talk is based on my paper he semantics of the canonical commutation relation' arxiv.org~abs~1604.07745'