Abstract
The general features of the Moller scattering and its use as an electron polarimeter are described and studied in view of the planned future high energy e^+e^- linear colliders. In particular the study concentrates on the TESLA collider which is envisaged to operate with longitudinal polarised beams at a centre of mass energy of the order of 0.5 TeV with a luminosity of about L = 10^34 cm^-2 sec^-1.
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