Light impurities in a uniform electron gas

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Abstract
The electronic properties of H and He embedded in a uniform electron gas are studied from an atomic point of view abandoning the local density formalism. The effect of the electron gas on the bound states of the proton is analysed: (i) by using a linear dielectric response in which the free electrons are described by orthogonalised plane waves instead of plane wave states; (ii) by including the exchange and correlation effects between the orthogonalised plane waves and bound states. The electronic bound states are then determined by means of a variational procedure. By using many-body techniques, the quasiparticle spectrum is also determined. The authors results are in reasonable agreement with those obtained in the local density formalism.