http://personal.maths.surrey.ac.uk/st/M.Wolf/conferences/smuk2013/index.html

In quantum physics, the operators associated with the position and the momentum of a particle are unbounded operators and C-algebraic quantisation, or strict quantisation, does therefore not deal with such operators. In this talk, I will show how to remedy this problem for Lie-Poisson manifolds (this includes dual of Lie algebras and cotangent bundle of manifolds). As an application, I will show with an example how the quantisation of the dual of the Lie algebroid associated to a Poisson manifold can lead to a quantisation of the Poisson manifold itself. The example I consider is the torus with constant symplectic structure, in which case I recover its usual C-algebraic quantisation.