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November 09, 2015
Monday, November 09
Geometry and Topology
Time: 15:30
Speaker: Jennifer Vaughan (Univ. of Toronto)
Title: "Dynamical Invariance of a New Metaplectic-c Quantization Condition"
Room: MC 107

Abstract: Metaplectic-c quantization was developed by Robinson and Rawnsley as an alternative to the classical Kostant-Souriau quantization procedure with half-form correction. Given a metaplectic-c quantized symplectic manifold and a real-valued function on that manifold, we propose a condition under which a regular value of the function is a quantized energy level for the system. We discuss the properties of this condition, and we give the quantized energy levels of the harmonic oscillator and the hydrogen atom.