Condensed Matter Physics, 2013, vol. 16, No. 2, 23702:113
DOI:10.5488/CMP.16.23702
arXiv:1307.3867
Title:
A current algebra approach to the equilibrium classical statistical
mechanics and its applications
Author(s):

N. Bogolubov
(The V.A. Steklov Mathematical Institute of RAN, Moscow, Russian Federation)


A. Prykarpatsky
(AGH University of Science and Technology, Krakow, 30059, Poland;
The Ivan Franko State Pedagogical University, Drohobych, Ukraine)

The nonrelativistic current algebra approach is analyzed subject to its
application to studying the distribution functions of manyparticle systems
at the temperature equilibrium and their stability properties. We show
that the classical Bogolubov generating functional method is a very
effective tool for constructing the irreducible current algebra
representations and the corresponding different generalized measure
expansions including collective variables transform. The effective
Hamiltonian operator construction and its spectrum peculiarities subject to
the stability of equilibrium manyparticle systems are discussed.
Key words:
current algebra, Bogolubov generating functional, collective variables representation, Hamiltonian operator reconstruction
PACS:
73.21.Fg, 73.63.Hs, 78.67.De
