Scaling asymptotics for quantized Hamiltonian flows
Symplectic Geometry
2012-09-04 v1 Mathematical Physics
math.MP
Abstract
In recent years, the near diagonal asymptotics of the equivariant components of the Szeg\"{o} kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many authors. As a natural generalization of this theme, here we consider the local scaling asymptotics of the Toeplitz quantization of a Hamiltonian symplectomorphism, and specifically how they concentrate on the graph of the underlying classical map.
Cite
@article{arxiv.1105.4729,
title = {Scaling asymptotics for quantized Hamiltonian flows},
author = {Roberto Paoletti},
journal= {arXiv preprint arXiv:1105.4729},
year = {2012}
}