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KIAM Preprint Ļ 26, Moscow, 2018
Authors: Ponomarev O.A., Shigaev A.S., Lakhno V. D.
A new method for decoupling Bogolyubovís chains for quantum models
The paper describes in detail a method for investigating the effects of dynamical coupling in the energy- and charge-transfer processes with regard to an averaged external field of all the particles of the system. The particles are assumed to take part only in pair correlations which makes possible effective truncation of Bogolubov's chains. It is shown that the method enables effective consideration of temperature and is well suited for most of quantum-mechanical systems where triple correlations of quantum particles are hardly probable. To demonstrate the potentialities of the approach the models by Matsubara, Froehlich and Yukawa are investigated.
Bogolyubov chainsí decoupling, correlation functions, Greenís functions, approximation of pair correlations
Publication language: english,  pages: 34
Research direction:
Mathematical modelling in actual problems of science and technics
English source text:
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About authors:
  • Ponomarev Oleg Aleksandrovich, RAS
  • Shigaev Alexey Sergeevich, RAS
  • Lakhno Victor Dmitrievich, RAS