Scaling asymptotics for quantized Hamiltonian flows

Abstract

In recent years, the near diagonal asymptotics of the equivariant components of the Szegö 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.

References in corpus (3)

• Generalized Bergman kernels on symplectic manifolds
• Local trace formulae and scaling asymptotics in Toeplitz quantization, II
• Asymptotics of Szegö kernels under Hamiltonian torus actions

Cited by in corpus (3)

• Central Limit theorem for spectral Partial Bergman kernels
• Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Töplitz quantization
• Scaling asymptotics for Szegő kernels on Grauert tubes