12 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
The Two Dimensional Hannay-Berry Model
Shamgar Gurevich, Ronny Hadani
The main goal of this paper is to construct the Hannay-Berry model of quantum mechanics, on a two dimensional symplectic torus. We construct a simultaneous quantization of the alge…