Noncommutative space and the low-energy physics of quasicrystals

6533b829fe1ef96bd128acc3

RESEARCH PRODUCT

Noncommutative space and the low-energy physics of quasicrystals

P. Fernández De Córdoba Llúcia Monreal Albert Ferrando Albert Ferrando José M. Isidro

subject

High Energy Physics - Theory Physics Nuclear and High Energy Physics Quasicrystal FOS: Physical sciences Astronomy and Astrophysics Mathematical Physics (math-ph)Space (mathematics)Noncommutative geometry Atomic and Molecular Physics and Optics Nonlinear Sciences::Chaotic Dynamics Quasiperiodicity symbols.namesake Low energy High Energy Physics - Theory (hep-th)Quasiperiodic function symbols Nonlinear Schrödinger equation Mathematical Physics Mathematical physics Envelope (waves)

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.

year	journal	country	edition	language
2008-04-17

https://dx.doi.org/10.48550/arxiv.0804.2813

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