Seminar of Research Training Group
(Some aspects of) operator algebras and quantum physics
Tuesday June 20, 2017 16:15:00 CEST
Tuesday June 20, 2017 17:45:00 CEST
Prof. Andrés Reyes Lega
Universidad de los Andes Bogotá, Kolumbien
After briefly reviewing some of the basic notions of operator algebras that are relevant for the algebraic approach to quantum physics, I will discuss two classes of C*-algebras that are relevant in quantum physics, namely the Weyl algebra and the CAR (or fermionic) algebra. Then, three examples of recent applications will be discussed: (i) the use of the GNS construction in the study of entanglement in systems of identical particles (ii) the Sorkin-Johnston state for scalar fields in curved spacetimes and (iii) the relation between the Shale-Stinespring theorem and the topology underlying the (thermodynamic) phase transition in the Ising model.
SR 5, Helmholtzweg 4