Response function of the fractional quantized Hall state on a sphere. I. Fermion Chern-Simons theory

Using a well-known singular gauge transformation, certain fractional quantized Hall states can be modeled as integer quantized Hall states of transformed fermions interacting with a Chern-Simons field. In previous work we have calculated the electromagnetic response function of these states at arbitrary frequency and wave vector by using the random-phase approximation in combination with a Landau-Fermi-liquid approach. We now adopt these calculations to a spherical geometry in order to facilitate comparison with exact diagonalizations performed on finite-size systems.