- 96-249 Zelditch, S.
- Index and dynamics of quantized contact transformations
Jun 5, 96
(auto. generated ps),
of related papers
Abstract. We study the Toeplitz quantization of contact transformations as unitary
operators. For instance, symplectic torus automorphisms lift to contact
transformations of a Heisenberg nil-manifold and quantize to give the
Hermite-Jacobi transformation laws on theta functions. The focus is on
the quantum dynamics of quantized contact transformations, e.g. ergodicity
and mixing, in the semi-classical limit.