  We study the violation of the adiabaticity of the electron dynamics in a
slowly varying magnetic field. We formulate and solve exactly a non-adiabatic
scattering problem. In particular, we consider scattering on a magnetic field
inhomogeneity which models scatterers in the composite-fermion theory of the
half-filled Landau level. The calculated non-adiabatic shift of the guiding
center is exponentially small and exhibits an oscillatory behavior related to
the "self-commensurability" of the drifting cyclotron orbit. The analytical
results are complemented with a numerical simulation.
