Statistical Green's Functions

1998/12/16 by V. I. Yukalov, Yukalov, V. I. · 6 citations
Decision Sciences · Physics and Astronomy · #FOS: Physical sciences #Multi-Criteria Decision Making #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9812274

3 LaTex files, 129 pages, Published as a book by Queen's University Press, Kingston, Canada, 1998

openalex publication_date 1998/12/16 · arxiv created 1998/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The basic mathematical properties of Green's functions used in statistical mechanics as well as the equations defining these functions and the techniques of solving these equations are reviewed. An approach is presented called the Correlated Iteration Theory, which has been developed by the author. This approach differs from all other known variants of perturbation theory for Green's functions by the combination of two factors: the systematic formulation of an algorithm for obtaining subsequent approximations and the consistent consideration of interparticle correlations at each step of the procedure.

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