The Higher-Dimensional Rudnick-Kurlberg Conjecture
Mathematical Physics
2007-05-23 v2 math.MP
Number Theory
Quantum Physics
Abstract
In this paper we give a proof of the {\it Hecke quantum unique ergodicity conjecture} for the multidimensional Berry-Hannay model. A model of quantum mechanics on the 2n-dimensional torus. This result generalizes the proof of the {\it Rudnick-Kurlberg Conjecture} given in \cite{GH3} for the 2-dimensional torus.
Cite
@article{arxiv.math-ph/0409031,
title = {The Higher-Dimensional Rudnick-Kurlberg Conjecture},
author = {Shamgar Gurevich and Ronny Hadani},
journal= {arXiv preprint arXiv:math-ph/0409031},
year = {2007}
}
Comments
26 pages, preliminary version, proof conjecture for "generic" ergodic automorphism