440 citations · 4.5k across the 106 of their papers we have counts for
9 papers · 2 filters
Spectrum of Schroedinger field in a noncommutative magnetic monopole
D. Karabali, V. P. Nair, A. P. Polychronakos
The energy spectrum of a nonrelativistic particle on a noncommutative sphere in the presence of a magnetic monopole field is calculated. The system is treated in the field theory l…
Calogero-Moser models with noncommutative spin interactions
Alexios P. Polychronakos
We construct integrable generalizations of the elliptic Calogero-Sutherland-Moser model of particles with spin, involving noncommutative spin interactions. The spin coupling potent…
Area Potentials and Deformation Quantization
Thomas L Curtright, Alexios P Polychronakos, Cosmas K Zachos
Systems built out of N-body interactions, beyond 2-body interactions, are formulated on the plane, and investigated classically and quantum mechanically (in phase space). Their Wig…
Testing Non-commutative QED, Constructing Non-commutative MHD
Z. Guralnik, R. Jackiw, S. Y. Pi +1
The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation trans…
Finite Noncommutative Chern-Simons with a Wilson Line and the Quantum Hall Effect
Bogdan Morariu, Alexios P. Polychronakos
We present a finite dimensional matrix model associated to the noncommutative Chern-Simons theory, obtained by inserting a Wilson line. For a specific choice of the representation…
Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory
Alexios P. Polychronakos
We propose a unitary matrix Chern-Simons model representing fractional quantum Hall fluids of finite extent on the cylinder. A mapping between the states of the two systems is esta…