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New approach to perturbation theory of many-particle systems

Research output: Contribution to journalJournal article

<mark>Journal publication date</mark>02/1984
<mark>Journal</mark>International Journal of Theoretical Physics
Issue number2
Number of pages26
Pages (from-to)99-124
Publication statusPublished
Original languageEnglish


We derive an infinite hierarchy of integral equations for the Green functions of a many-particle system. This set of equations forms the basis of a unified approach to the perturbation theory of many boson and many fermion systems and avoids the introduction of the adiabatic hypothesis. It is demonstrated how a well-known ground state perturbation theory of a system of interacting fermions is obtained without introducing disconnected diagrams. It is shown that the formalism allows a self-consistent determination of the condensate Green function of a condensed Bose system and a derivation of the Beliaev, Hugenholtz, and Pines result for the single-particle k 0 Green function is given. A new self-consistent equation for the k = 0 Green function is solved to yield the well-known self-energy relation 11 – 02 =which plays the role of a self-consistency condition on the theory.