Geometric Analysis Seminar

Jonathan Herman, Department of Pure Mathematics, University of Waterloo

"Momentum and Position Forms"

We first recall the theory of the classical momentum and position functions on the phase space of a manifold. The Poisson bracket relations between these functions form the bridging gap from classical to quantum mechanics. We extend the Poisson bracket to multisymplectic geometry and show that a more general relationship holds between 'momentum and position forms' on an $n$-plectic manifold.

MC 5479