 Turning on the interactions, we can make the approximation that all of the electrons lie in the LLL.If formula_6 is the single particle wavefunction of the LLL state with the lowest orbital angular momenta, then the Laughlin ansatz for the multiparticle wavefunction is

where position is denoted by

in (Gaussian units)

and formula_10 and formula_11 are coordinates in the xy plane.Here formula_12 is Planck's constant, formula_13 is the electron charge, formula_14 is the total number of particles, and formula_15 is the magnetic field, which is perpendicular to the xy plane.