  We consider the problem of Bosonic particles interacting repulsively in a
strong magnetic field at the filling factor $\nu =1.$ We project the system in
the Lowest Landau Level and map the dynamics into an interacting Fermion
system. We study the resulting Hamiltonian in the Hartree--Fock approximation
in the case of a $\delta $ repulsive potential. The physical picture which
emerges is in agreement with the proposal of N. Read that the composite
Fermions behave as a gas of dipoles. We argue that the consequence of this is
that the composite Fermions interact with screened short range interactions. We
develop a Landau theory which we also expect to describe the physical $\nu
=1/2$ Fermionic state. The Form factor, the effective mass and the conductivity
are analised in this model.
