The Higher-Dimensional Rudnick-Kurlberg Conjecture
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🧮 math-ph
math.MPmath.NTquant-ph
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conjecturemodelproofquantumrudnick-kurlbergtorusberry-hannaycite
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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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