Speaker
Emanuele Latini
(University of Bologna and INFN Bologna)
Description
We will show how quantization together with quantum dynamics can be simultaneously formulated as the problem of finding an appropriate flat connection (named contact connection) on a Hilbert bundle over a contact manifold. In this setting we will discuss the local, formal gauge equivalence for a broad class of quantum dynamical systems; just as classical dynamics depends on choices of clocks, local quantum dynamics can be reduced to a problem of studying gauge transformations. As an example and application of this new approach to the quantization procedure, we discuss the gauge tranformation relating the contact connection for the HO to the AHO one, and possibly discuss the space of solutions of the parallel section problem.
