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arxiv: math-ph/0404074 · v7 · submitted 2004-04-29 · 🧮 math-ph · math.AG· math.MP· quant-ph

Proof of the Kurlberg-Rudnick Rate Conjecture

classification 🧮 math-ph math.AGmath.MPquant-ph
keywords conjecturemodelproofquantumratebarcelonaberkeleyberry-hannay
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In this paper we present a proof of the {\it Hecke quantum unique ergodicity rate conjecture} for the Berry-Hannay model. A model of quantum mechanics on the 2-dimensional torus. This conjecture was stated in Z. Rudnick's lectures at MSRI, Berkeley 1999 and ECM, Barcelona 2000.

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