Long Time Quantum Evolution of Observables

We build a semi-classical quantization procedure for finite volume man- ifolds with hyperbolic cusps, adapted to a geometrical class of symbols. We prove an Egorov Lemma until Ehrenfest times on such manifolds. Then we give a version of Quantum Unique Ergodicity for the Eisenstein series for values...

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Bibliographic Details
Published in:arXiv.org 2014-11
Main Author: Bonthonneau, Yannick
Format: Article
Language:English
Subjects:
Cusps
Online Access:Get full text
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Summary:We build a semi-classical quantization procedure for finite volume man- ifolds with hyperbolic cusps, adapted to a geometrical class of symbols. We prove an Egorov Lemma until Ehrenfest times on such manifolds. Then we give a version of Quantum Unique Ergodicity for the Eisenstein series for values of s converging slowly to the unitary axis.
ISSN:2331-8422
DOI:10.48550/arxiv.1411.5083