Abstract
The many-fermion problem is formulated in terms of boson variables that represent collective and particle-hole excitations of the system. An expansion scheme is presented which in a systematic and physically reasonable way allows the inclusion of the boson degrees of freedom in increasing detail. The RPA canonical transformation can be readily performed among the discretised boson operators. The authors apply the scheme to the homogeneous electron gas and use the exp S method to derive explicit expressions for the static properties for the system.