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arXiv · 1105.4729

Scaling asymptotics for quantized Hamiltonian flows

Roberto Paoletti
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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.

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Roberto Paoletti. 2011-05-24. Scaling asymptotics for quantized Hamiltonian flows. https://doi.org/10.1142/s0129167x12501029

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