  A principal candidate for quiescent non-thermal gamma-ray emission from
magnetars is resonant inverse Compton scattering in the strong fields of their
magnetospheres. This paper outlines expectations for such emission, formed from
non-thermal electrons accelerated in a pulsar-like polar cap potential
upscattering thermal X-rays from the hot stellar surface. The resultant spectra
are found to be strikingly flat, with fluxes and strong pulsation that could be
detectable by GLAST.
