For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.
| Title: | Effective Quantum Reduction |
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| Seminar: | GAP Seminar |
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| Speaker: | Martin Bojowald, Penn State Gravity |
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| Abstract: |
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| 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 |
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| Date: | 02 / 03 / 2009 |
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| Time: | 02:30pm - 03:30pm |
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