Effective Quantum Reduction

GAP Seminar

Meeting Details

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

Speaker: Martin Bojowald, Penn State Gravity

Abstract: 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: 106 McAllister

Date: 02/03/2009

Time: 2:30pm - 3:30pm