  Magnetic wave perturbations are observed in the solar wind and in the
vicinity of Earth's bow shock. For such environments, recent work on magnetic
pumping with electrons trapped in the magnetic perturbations have demonstrated
the possibility of efficient energization of superthermal electrons. Here we
also analyze the energization of such energetic electrons for which the transit
time through the system is short compared to time scales associated with the
magnetic field evolution. In particular, considering an idealized magnetic
configuration we show how trapping/detrapping of energetic magnetized electrons
can cause effective parallel velocity diffusion. This parallel diffusion,
combined with naturally occurring mechanisms known to cause pitch angle
scattering, such as Whistler waves, produces enhanced heating rates for
magnetic pumping. We find that at low pitch angle scattering rates the combined
mechanism enhances the heating beyond the predictions of the recent theory for
magnetic pumping with trapped electrons.
