Few-body treatment of the quantum Hall system

The quantum Hall system is perhaps the simplest real physical system to exhibit complicated, highly-correlated quantum behavior\footnote{D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. \textbf{48}, 1559 (1982)}. Our initial theoretical exploration of this problem approaches it from a few-body perspective using the adiabatic hyperspherical representation\footnote{J. Macek, J. Phys. B: At. Mol. Phys., \textbf{1} 831 (1968).} developed originally for atomic systems. Such a 2D system with interacting charged particles that move in an external magnetic field can be simulated for cold atoms using artificial vector gauge potentials.