Classical and Quantum Dynamics on Orbifolds

[摘要] 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.

[关键词] microlocal analysis;noncommutative geometry;symplectic reduction;quantization;foliation;orbifold;Hamiltonian dynamics;elliptic operators