  We consider the Landau Hamiltonian (i.e. the 2D Schroedinger operator with
constant magnetic field) perturbed by an electric potential V which decays
sufficiently fast at infinity. The spectrum of the perturbed Hamiltonian
consists of clusters of eigenvalues which accumulate to the Landau levels.
Applying a suitable version of the anti-Wick quantization, we investigate the
asymptotic distribution of the eigenvalues within a given cluster as the number
of the cluster tends to infinity. We obtain an explicit description of the
asymptotic density of the eigenvalues in terms of the Radon transform of the
perturbation potential V.
