  We have presented a quantum mechanical toy model for the study of Coulomb
interactions in Quantum Hall (QH) system. Inclusion of Coulomb interaction is
essential for the study of {\it{bilayer}} QH system and our model can simulate
it, in the compound state, in a perturbative framework. We also show that in
the noncommutative plane, the Coulomb interaction is modified at a higher order
in the noncommutativity parameter $\theta$, and only if $\theta$ varies from
layer to layer in the QH system.
