184 citations · 1.2k across the 92 of their papers we have counts for
11 papers · 1 filter
Electromagnetic Excitations of Hall Systems on Four Dimensional Space
Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi
The noncommutativity of a four-dimensional phase space is introduced from a purely symplectic point of view. We show that there is always a coordinate map to locally eliminate the…
Massless Dirac Fermions in Electromagnetic Field
Ahmed Jellal, Abderrahim El Mouhafid, Mohammed Daoud
We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it…
Electromagnetic Excitations of A_n Quantum Hall Droplets
Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi
The classical description of A_n internal degrees of freedom is given by making use of the Fock--Bargmann analytical realization. The symplectic deformation of phase space, includi…
Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a ge…
Quantum Hall Effect on the Flag Manifold F_2
Mohammed Daoud, Ahmed Jellal
The Landau problem on the flag manifold is analyzed from an algebraic point of view. The involved magnetic background is induced by two U(1) abe…
Quantum Hall Droplets on Disc and Effective Wess-Zumino-Witten Action for Edge States
Mohammed Daoud, Ahmed Jellal
We algebraically analysis the quantum Hall effect of a system of particles living on the disc in the presence of an uniform magnetic field . For this, we identify th…