Search results for "Quasiperiodicity"

showing 2 items of 2 documents

Noncommutative space and the low-energy physics of quasicrystals

2008

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.

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsQuasicrystalFOS: Physical sciencesAstronomy and AstrophysicsMathematical Physics (math-ph)Space (mathematics)Noncommutative geometryAtomic and Molecular Physics and OpticsNonlinear Sciences::Chaotic DynamicsQuasiperiodicitysymbols.namesakeLow energyHigh Energy Physics - Theory (hep-th)Quasiperiodic functionsymbolsNonlinear Schrödinger equationMathematical PhysicsMathematical physicsEnvelope (waves)
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Billiards in magnetic fields: A molecular dynamics approach

2009

We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows to treat arbitrary geometries and several interacting particles. We test the scheme for rectangular single-particle billiards in magnetic fields and find a sequence of regularity islands at integer aspect ratios. In the case of two Coulomb-interacting particles the dynamics is dominated by chaotic behavior. However, signatures of quasiperiodicity can be identified at weak interactions, as well as regular trajectories at strong magnetic fields. Our scheme provides a promising tool to monitor the classical limit of many-electron semiconductor…

PhysicsSequenceCondensed Matter - Mesoscale and Nanoscale PhysicsChaoticFOS: Physical sciencesNonlinear Sciences - Chaotic DynamicsClassical limitMagnetic fieldCondensed Matter - Other Condensed MatterNonlinear Sciences::Chaotic DynamicsMolecular dynamicsQuasiperiodicityClassical mechanicsQuantum dotMesoscale and Nanoscale Physics (cond-mat.mes-hall)Chaotic Dynamics (nlin.CD)Integer (computer science)Other Condensed Matter (cond-mat.other)
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