We discuss two mathematical problems arising in classical and quantum dynamics: the existence of weak * limit of sequence of point measures supported on classical periodic orbits on one side, and those arising from quantum averages of pseudo-differential operators on the other side. We show their intimate connection using the example of the hyperbolic linear automorphism of the torus.

Classical vs Quantum equidistribution results

ISOLA, Stefano
1994-01-01

Abstract

We discuss two mathematical problems arising in classical and quantum dynamics: the existence of weak * limit of sequence of point measures supported on classical periodic orbits on one side, and those arising from quantum averages of pseudo-differential operators on the other side. We show their intimate connection using the example of the hyperbolic linear automorphism of the torus.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/109370
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