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##### On the Random Phase Approximation based on the Thermo Field Dynamics formalism

**Authors**: M. Yamamura, J. da ProvidĂȘncia, A. Kuriyama and C. Fiolhais

**Ref.**: Progress of Theoretical Physics **83**, 749-765 (1990)

**Abstract**: A comparative study of the random phase approximation is reported in the case of the following three approaches based on the thermo field dynamics formalism: (A) the Tanable approach, (B) the Hatsuda approach and (C) the approach developed by the present authors. The basic viewpoint is to formulate the random phase approximation by picking up the quadratic terms with respect to bosons in the boson expansion theory for the thermo field dynamics formalism. It is concluded that the approach (C) appears to be superior to the other two approaches.