For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.
|Title:||Effective Quantum Reduction|
|Speaker:||Martin Bojowald, Penn State Gravity|
|Symplectic reduction is used when a classical dynamical system is subject to constraints which imply gauge symmetries. The analog for a quantum system is Dirac quantization, requiring states in a Hilbert space to be annihilated by constraint operators. We will discuss how these concepts can be related by viewing Dirac quantization as symplectic reduction of the infinite-dimensional space of states, subject to infinitely many constraints. Truncations to finite-dimensional subspaces (which are
non-symplectic Poisson manifolds) provide a ladder of effective descriptions briding the gap between the classical and the quantum system.|
Room Reservation Information
|Date:||02 / 03 / 2009|
|Time:||02:30pm - 03:30pm|