Abstract:
The method of collective variables is used to investigate the properties of a nonideal Bose
system near absolute zero temperature. It is shown that the method developed previously
by the author for constructing correlation functions enables one to extend the method of
collective variables to systems with hard core interaction. The time dependence of the
correlation functions is investigated for large and small values of the time $t$.
Citation:
Yu. A. Tserkovnikov, “Calculation of the correlation functions of a nonideal Bose gas by the method of collective variables”, TMF, 26:1 (1976), 77–95; Theoret. and Math. Phys., 26:1 (1976), 50–61
\Bibitem{Tse76}
\by Yu.~A.~Tserkovnikov
\paper Calculation of the correlation functions of a~nonideal Bose gas by the method of collective variables
\jour TMF
\yr 1976
\vol 26
\issue 1
\pages 77--95
\mathnet{http://mi.mathnet.ru/tmf3170}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 1
\pages 50--61
\crossref{https://doi.org/10.1007/BF01038256}
Linking options:
https://www.mathnet.ru/eng/tmf3170
https://www.mathnet.ru/eng/tmf/v26/i1/p77
This publication is cited in the following 5 articles:
Yu. A. Tserkovnikov, “Molecular hydrodynamics of weakly degenerate nonideal bose-gas II. Green functions and kinetic coefficients”, Theoret. and Math. Phys., 105:1 (1995), 1249–1290
Yu. A. Tserkovnikov, “Molecular hydrodynamics of degenerate weakly nonideal bose gas. I. Generalized equations of two-fluid hydrodynamics”, Theoret. and Math. Phys., 93:3 (1992), 1367–1402
I. A. Vakarchuk, P. A. Glushak, “Free energy of a many-boson system at low temperatures”, Theoret. and Math. Phys., 75:1 (1988), 399–408
G. O. Balabanyan, “Construction of theory of a binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I. Wave function and ground-state energy, excitation spectrum, correlation functions, thermodynamics of the system at $T=0$”, Theoret. and Math. Phys., 66:1 (1986), 81–97
V. I. Yukalov, “Bose condensation into a state with finite momentum”, Theoret. and Math. Phys., 37:3 (1978), 1093–1101