On a limiting eigenvalue distribution theorem for perturbations of the Landau Hamiltonian

We will show a theorem studying the distribution of eigenvalues in clusters generated by introducing a perturbation V, with apropiated decay at infinity, of the Landau problem in the high energy limit. The result involves averages of V along straight lines, which can be restated as a suitable high energy limit of normalized averages of V along circles (classical orbits of the unperturbed problem). This is joint work with Alexander Pushnitski and Georgi Raikov.