Theoretical physics / Elméleti fizika

Prof. Ingemar Bengtsson (Stockholm University): Geometry of quantum state spaces




Geometry of classical mechanics usually means symplectic geometry. In quantum mechanics this geometry is inseparably joined to the geometry of probability theory, creating a very rich structure. I will introduce this structure from scratch, assuming that the audience has not spent any thought on the geometry of finite dimensional quantum mechanics.  But I will be gently leading up to a point of view from where you can see some unsolved problems that I am working on.