This article is cited in 2 papers

Optimal method for truncating a chain of equations for two-time Green's functions

Yu. A. Tserkovnikov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We use an example of a chain of equations describing a system of Bose particles with pairwise interaction to develop a method for decoupling the chain at its second element. We obtain an approximation of the interacting-modes type, which results in a system of nonlinear equations for one-, two-, and three-particle functions.

Keywords: Green's functions, chains of equations, approximation of interacting modes.

Received: 23.11.2005

DOI: 10.4213/tmf1991

 English version: Theoretical and Mathematical Physics, 2006, 147:3, 868–875

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