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TMF, 1986, Volume 66, Number 1, Pages 121–145 (Mi tmf4599)  

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 ground-state 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 density-density 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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English version:
Theoretical and Mathematical Physics, 1986, 66:1, 81–97

Bibliographic databases:

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 ground-state 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
\Bibitem{Bal86}
\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 ground-state energy, excitation spectrum, correlation functions, thermodynamics of the system at~$T=0$
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 121--145
\mathnet{http://mi.mathnet.ru/tmf4599}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=831422}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 81--97
\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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    This publication is cited in the following articles:
    1. 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 ground-state energy and density-density correlation functions”, Theoret. and Math. Phys., 71:1 (1987), 418–428  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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