The Higher-Dimensional Rudnick-Kurlberg Conjecture

Details The Higher-Dimensional Rudnick-Kurlberg Conjecture The Higher-Dimensional Rudnick-Kurlberg Conjecture

2004-09-15

arxiv.org/abs/math-ph/0409031v2

Physics

Mathematical Physics

26 pages, preliminary version, proof conjecture for "generic" ergodic automorphism

Scientific paper

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.

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