On the relations between some approaches to solving the Kirkwood – Salzburg equations
Abstract
UDC 517.9
This work is almost a review describing the solutions of Kirkwood – Salsburg equations for correlation functions of a large canonical ensemble. We establish analytical relations between Ruelle’s operator approach described in detail in [Статистическая механика. Строгие результаты, Мир, Москва (1971)] and the approach by Minlos and Poghosyan presented in [Оценки функций Урселла, групповых функций и их производных, Теор. и мат. физика, 31, № 2, 199 – 213 (1977)]. Using methods of infinite-dimensional analysis, we suggest a more transparent description of the main results.
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