The Multidimensional Berry-Hannay Model
| dc.creator | Gurevich, Shamgar | |
| dc.creator | Hadani, Ronny | |
| dc.date | 2004-03-18 | |
| dc.date | 2004-03-19 | |
| dc.date.accessioned | 2026-07-07T06:36:39Z | |
| dc.date.available | 2026-07-07T06:36:39Z | |
| dc.description | 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 $\cal A$ of functions on the torus and the linear symplectic group $\G = \Sp(\mathrm{2n},\Z)$. In the construction we use the quantum torus $\A$, which is a deformation of $\cal A$, together with a $\G$-action on it. We obtain the quantization via the action of $\G$ on the set of equivalence classes of irreducible representations of $\A$. For $\h \in \Q$ this action has a unique fixed point. This gives a canonical projective equivariant quantization. There exists a Hilbert space on which both $\G$ and $\A$ act in a compatible way. | |
| dc.description | 11 pages, preprint | |
| dc.identifier | https://arxiv.org/abs/math-ph/0403036 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0403036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100153 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | The Multidimensional Berry-Hannay Model | |
| dc.type | text |