Long Time Quantum Evolution of Observables
Spectral Theory
2017-09-15 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.1411.5083,
title = {Long Time Quantum Evolution of Observables},
author = {Yannick Bonthonneau},
journal= {arXiv preprint arXiv:1411.5083},
year = {2017}
}
Comments
51 pages, 1 figure