Classical and Quantum Dynamics on Orbifolds

Abstract

We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit space of a Lie group action, and deals with the corresponding objects in noncommutative geometry.

Keywords

• microlocal analysis
• noncommutative geometry
• symplectic reduction
• quantization
• foliation
• orbifold
• Hamiltonian dynamics
• elliptic operators