PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.

Title:Effective Quantum Reduction
Seminar:GAP Seminar
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

Room Number:MB106
Date:02 / 03 / 2009
Time:02:30pm - 03:30pm