130 citations · 1.1k across the 183 of their papers we have counts for
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Two Coupled Harmonic Oscillators on Non-commutative Plane
Ahmed Jellal, El Hassan El Kinani, Michael Schreiber
We investigate a system of two coupled harmonic oscillators on the non-commutative plane \RR^2_θ by requiring that the spatial coordinates do not commute. We show that the system c…
Anisotropic Quantum Hall Matrix Model
Ahmed Jellal, Rudolf A. Roemer, Michael Schreiber
We consider the anisotropic effect in the quantum Hall systems by applying a confining potential that is not of parabolic type. This can be done by extending Susskind--Polychronako…
A Matrix Model for Bilayered Quantum Hall Systems
Ahmed Jellal, Michael Schreiber
We develop a matrix model to describe bilayered quantum Hall fluids for a series of filling factors. Considering two coupling layers, and starting from a corresponding action, we c…
A Matrix Model for Fractional Quantum Hall States
A. Jellal, E. H. Saidi, H. B. Geyer +1
We have developed a matrix model for FQH states at filling factor ν_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite…