  The aim of this work is to describe the Landau levels transitions of Bloch
electrons in doped graphene with an arbitrary time dependent magnetic field in
the long wavelength approximation. In particular, transitions from the m Landau
level to the m + 1 and m + 2 Landau levels are studied using time-dependent
perturbation theory. Time intervals are computed in which transition
probabilities tend to zero at low order in the coupling constant. In
particular, Landau level transitions are studied in the case of Bloch electrons
travelling in the direction of the applied magnetic force and the results are
compared with classical and revival periods of electrical current in graphene.
Finally, current probabilities are computed for the n = 0 and n = 1 Landau
levels showing expected oscillating behavior with modified cyclotron frequency.
