|
This article is cited in 1 scientific paper (total in 1 paper)
Classical and Quantum Dynamics on Orbifolds
Yuri A. Kordyukov Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky Str., Ufa 450008, Russia
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.
Received: September 4, 2011; in final form November 20, 2011; Published online November 23, 2011
Citation:
Yuri A. Kordyukov, “Classical and Quantum Dynamics on Orbifolds”, SIGMA, 7 (2011), 106, 12 pp.
Linking options:
https://www.mathnet.ru/eng/sigma664 https://www.mathnet.ru/eng/sigma/v7/p106
|
Statistics & downloads: |
Abstract page: | 243 | Full-text PDF : | 64 | References: | 49 |
|