Very strong magnetic fields and the helical Cerenkov radiation

It is at very strong magnetic fields that the helical Cerenkov effect, originating from the electron guiding center for an electron in helical motion in a magnetic field which is superimposed on a dielectric medium, resembles most closely the ordinary Cerenkov effect. In the absence of extremely strong magnetic fields in the laboratory, we turn our attention to the neutron stars (pulsar) and supernovas which can have magnetic fields whose values can easily be in the range of 10(5) - 10(9) T. The medium in which these magnetic fields reside is likely to be an ionized medium; that is, a plasma, which as usual, may be assumed to be dominated by electrons. Here we wish to argue that in such a strong magnetic field dominated medium, at least on a classical level, radiation process associated with the helical Cerenkov radiation could be rather important.