RPA equations and the instantaneous Bethe-Salpeter equation

Details RPA equations and the instantaneous Bethe-Salpeter equation RPA equations and the instantaneous Bethe-Salpeter equation

1993-12-20

arxiv.org/abs/nucl-th/9312013v2

Physics

Nuclear Physics

Nuclear Theory

6 pages, RevTeX, Bonn TK-93-19

Scientific paper

We give a derivation of the particle-hole RPA equations for an interacting multi-fermion system by applying the instantaneous approximation to the amputated two-fermion propagator of the system. In relativistic field theory the same approximation leads from the fermion-antifermion Bethe-Salpeter equation to the Salpeter equation. We show that RPA equations and Salpeter equation are indeed equivalent.

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