6533b851fe1ef96bd12a8fb3

RESEARCH PRODUCT

Applications of wavelets to quantum mechanics: A pedagogical example

Fabio Bagarello

subject

PhysicsMechanical modelsCondensed Matter (cond-mat)General Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed MatterElectronWaveletPlanarQuantum mechanicsFractional quantum Hall effectQuantumSettore MAT/07 - Fisica MatematicaEnergy (signal processing)Mathematical Physics

description

We discuss in many details two quantum mechanical models of planar electrons which are very much related to the Fractional Quantum Hall Effect. In particular, we discuss the localization properties of the trial ground states of the models starting from considerations on the numerical results on the energy. We conclude that wavelet theory can be conveniently used in the description of the system. Finally we suggest applications of our results to the Fractional Quantum Hall Effect.

10.1088/0305-4470/29/3/011http://hdl.handle.net/10447/198757