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There is solid observational evidence on the existence of massive, $M\sim1~M_\odot$, highly magnetized white dwarfs (WDs) with surface magnetic fieldsup to $B\sim 10^9$ G. We show that, if in addition to these features, the staris fast rotating, it can become a rotation-powered pulsar-like WD and emitdetectable high-energy radiation. We infer the values of the structureparameters (mass, radius, moment of inertia), magnetic field, rotation periodand spin-down rates of a WD pulsar death-line. We show that WDs above thedeath-line emit blackbody radiation in the soft X-ray band via the magneticpolar cap heating by back flowing pair-created particle bombardment and discussas an example the X-ray emission of soft gamma-repeaters and anomalous X-raypulsars within the WD model.

Thermal X-ray emission from massive, fast rotating, highly magnetized white dwarfs