Abstract
In this paper we study an electron cooling experiment in a quite different thermodynamical regime, with respect to standard experiments. A GaAs photocathode and adiabatic acceleration allow us the construction of a very cold electron beam. In such a beam the longitudinal temperature is lower than the potential energy between two electrons of the beam. The expected behaviour of the friction force, as well as a sketch of the experimental apparatus, with particular emphasis on the laser-induced electron source, are given.
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