Scaling asymptotics for quantized Hamiltonian flows

Details Scaling asymptotics for quantized Hamiltonian flows Scaling asymptotics for quantized Hamiltonian flows

2011-05-24

arxiv.org/abs/1105.4729v1

Mathematics

Symplectic Geometry

Scientific paper

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.

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