12 citations · 19 across the 5 of their papers we have counts for
Showing 2004 · math-phShow all
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math-ph2004★ 1 cited
The Higher-Dimensional Rudnick-Kurlberg Conjecture
Shamgar Gurevich, Ronny Hadani
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-dimensiona…
math-ph2004
Proof of the Kurlberg-Rudnick Rate Conjecture
Shamgar Gurevich, Ronny Hadani
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. T…
math-ph2004★ 5 cited
The Multidimensional Berry-Hannay Model
Shamgar Gurevich, Ronny Hadani
The aim of this paper is to construct the Berry-Hannay model of quantum mechanics on a 2n-dimensional symplectic torus. We construct a simultaneous quantization of the algebra $\ca…