Noncommutative space and the low-energy physics of quasicrystals

Monreal, L.; de Cordoba, P. Fernandez; Ferrando, A.; Isidro, J. M.

Noncommutative space and the low-energy physics of quasicrystals

Authors

Monreal, L.

de Cordoba, P. Fernandez

Ferrando, A.

Isidro, J. M.

Description

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.
9 pages, some refs added