  Neutron stars have inferred surface magnetic fields of up to 10^{14} Gauss,
in the case of radio pulsars, and up to possibly 10^{15} Gauss, in the case of
Soft Gamma-Ray Repeaters and Anomalous X-ray Pulsars. In fields this high, QED
effects will profoundly change the characteristics of continuum radiation
processes such as synchrotron emission and Compton scattering and will also
allow the possibility of additional physical processes such as one-photon pair
production, vacuum polarization and photon splitting. Atomic line processes
will also be significantly affected by the presence of strong fields. I will
review some of the properties of radiation processes in strong magnetic fields
that are most relevant to pulsars, SGRs and AXPs and the role they play in
models for these sources.
