  Motivated by rapid advances in plasma based accelerators, we propose a simple
mechanism for the production of highly collimated quasi monochromatic electrons
beams. By considering Compton scattering of electrons (in the plasma) with
virtual photons -- through an effective interaction --- we demonstrate angular
collimation with a divergence less than 3 mrad quasi mono-energetic nature of
the beam and an energy gain of O (1 GeV/cm), in laser induced accelerators.
