Noncommutative space and the low-energy physics of quasicrystals
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
We prove that the effective low-energy, nonlinear Schroedinger equation for a particle in the presence of a quasiperiodic potential is the potential-free, nonlinear Schroedinger equation on noncommutative space. Thus quasiperiodicity of the potential can be traded for space noncommutativity when describing the envelope wave of the initial quasiperiodic wave.
Keywords
Cite
@article{arxiv.0804.2813,
title = {Noncommutative space and the low-energy physics of quasicrystals},
author = {L. Monreal and P. Fernandez de Cordoba and A. Ferrando and J. M. Isidro},
journal= {arXiv preprint arXiv:0804.2813},
year = {2008}
}
Comments
9 pages, some refs added