Noncommutative space and the low-energy physics of quasicrystals

Details Noncommutative space and the low-energy physics of quasicrystals Noncommutative space and the low-energy physics of quasicrystals

2008-04-17

arxiv.org/abs/0804.2813v2

Int.J.Mod.Phys.A23:2037-2045,2008

Physics

Mathematical Physics

9 pages, some refs added

Scientific paper

10.1142/S0217751X08040408

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.

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