
This article is cited in 1 scientific paper (total in 1 paper)
Construction of theory of a binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I. Wave function and groundstate energy, excitation spectrum, correlation functions, thermodynamics of the system at $T=0$
G. O. Balabanyan^{}
Abstract:
For a binary mixture of nonideal Bose gases (or liquids) the method of collective
variables is used to find the energy and wave function of the ground state and the
excitation spectrum. The densitydensity correlation functions are calculated,
and the thermodynamics of the system at $T=0$ is considered. In the case of a binary mixture of gases with equal masses of the particles it is established in the
framework of the model with “pseudopotential of hard spheres” that separation of
the mixture into components does not occur in two cases: low density of the mixture and any concentration of the admixture or any density and a low concentration of the admixture. The possibility of a superfluid state is stablished. The system is also investigated by the variational method. The application of the theory to real binary Bose mixtures, for example $\operatorname{He}^4$ and $D_2$ or $\operatorname{He}^4$ and $\operatorname{HT}$ is discussed.
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Theoretical and Mathematical Physics, 1986, 66:1, 81–97
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Received: 18.12.1984
Citation:
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 groundstate energy, excitation spectrum, correlation functions, thermodynamics of the system at $T=0$”, TMF, 66:1 (1986), 121–145; Theoret. and Math. Phys., 66:1 (1986), 81–97
Citation in format AMSBIB
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\by G.~O.~Balabanyan
\paper Construction of theory of a~binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I.~Wave function and groundstate energy, excitation spectrum, correlation functions, thermodynamics of the system at~$T=0$
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 121145
\mathnet{http://mi.mathnet.ru/tmf4599}
\mathscinet{http://www.ams.org/mathscinetgetitem?mr=831422}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 8197
\crossref{https://doi.org/10.1007/BF01028942}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986D593000010}
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http://mi.mathnet.ru/eng/tmf4599 http://mi.mathnet.ru/eng/tmf/v66/i1/p121
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Cycle of papers
 Construction of theory of a binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I. Wave function and groundstate energy, excitation spectrum, correlation functions, thermodynamics of the system at $T=0$
G. O. Balabanyan TMF, 1986, 66:1, 121–145
 Construction of theory of a binary mixture of nonideal bose gases (or liquids) by the method of collective variables. II. The $s$particle density matrices at $T=0$. Variational calculation of the groundstate energy and densitydensity correlation functions
G. O. Balabanyan TMF, 1987, 71:1, 114–128
 Construction of theory of a binary mixture of nonideal bose gases (or liquids) by the method of collective variables. III. Perturbation theory
G. O. Balabanyan TMF, 1988, 75:1, 137–147
This publication is cited in the following articles:

G. O. Balabanyan, “Construction of theory of a binary mixture of nonideal bose gases (or liquids) by the method of collective variables. II. The $s$particle density matrices at $T=0$. Variational calculation of the groundstate energy and densitydensity correlation functions”, Theoret. and Math. Phys., 71:1 (1987), 418–428

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