Constrained quantum dynamics

Details Constrained quantum dynamics Constrained quantum dynamics

2009-03-31

arxiv.org/abs/0903.5437v1

Physics

Quantum Physics

8 pages, 4 figures. Based on the talk presented at the DICE2008 conference in Castiglioncello, September 2008

Scientific paper

We give an overview of the two different methods that have been introduced in order to describe the dynamics of constrained quantum systems; the symplectic formulation and the metric formulation. The symplectic method extends the work of Dirac on constrained classical systems to quantum systems, whereas the metric approach is purely a quantum mechanical method having no immediate classical counterpart. Two examples are provided that illustrate the nonlinear motion induced by the constraint.

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