I. A. Vakarchuk, O. L. Gonopol'skii, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. II”, TMF, 41:1 (1979), 77–88; Theoret. and Math. Phys., 41:1 (1979), 896

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 41, Number 1, Pages 77–88 (Mi tmf3021)

This article is cited in 6 scientific papers (total in 6 papers)

Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. II

I. A. Vakarchuk, O. L. Gonopol'skii, I. R. Yukhnovskii

Full-text PDF (1395 kB) Citations (6)

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Abstract: A theory that takes into account consistently the short- and long-range spatial correlations is constructed on the basis of the wave function of the ground state of liquid $\operatorname{He}^4$ proposed in the first part of the paper; the variational principle and the method of collective variables are used. The short-range part of the wave function is chosen to obtain an exact description of the two-particle cluster. A minimum of the total energy is found under the condition that the long-range correlations do not change the values of the twoparticle distribution function at short distances. This condition ensures a self-consistent description of the two types of correlation and determines the correct nonanalytic longwavelength behavior of the structure factor.

Received: 21.06.1978

English version:
Theoretical and Mathematical Physics, 1979, Volume 41, Issue 1, Pages 896–903
DOI: https://doi.org/10.1007/BF01079297

Bibliographic databases:

Language: Russian

Citation: I. A. Vakarchuk, O. L. Gonopol'skii, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. II”, TMF, 41:1 (1979), 77–88; Theoret. and Math. Phys., 41:1 (1979), 896–903

Citation in format AMSBIB

\Bibitem{VakGonYuk79}

\by I.~A.~Vakarchuk, O.~L.~Gonopol'skii, I.~R.~Yukhnovskii

\paper Self-consistent description of long-range and short-range correlations in the theory of liquid~~$\operatorname{He}^4$.~II

\jour TMF

\yr 1979

\vol 41

\issue 1

\pages 77--88

\mathnet{http://mi.mathnet.ru/tmf3021}

\transl

\jour Theoret. and Math. Phys.

\yr 1979

\vol 41

\issue 1

\pages 896--903

\crossref{https://doi.org/10.1007/BF01079297}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JS86500009}

Linking options:

https://www.mathnet.ru/eng/tmf3021

https://www.mathnet.ru/eng/tmf/v41/i1/p77

Cycle of papers

Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. I
I. A. Vakarchuk, I. R. Yukhnovskii
TMF, 1979, 40:1, 100–111
Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. II
I. A. Vakarchuk, O. L. Gonopol'skii, I. R. Yukhnovskii
TMF, 1979, 41:1, 77–88

This publication is cited in the following 6 articles:

P. A. Glushak, B. B. Markiv, M. V. Tokarchuk, “Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems”, Theoret. and Math. Phys., 194:1 (2018), 57–73
I.O. Vakarchuk, O.I. Hryhorchak, “Structure Functions of Many-Boson System with regard for Direct Three- and Four-Particle Correlations”, Ukr. J. Phys., 60:11 (2015), 1115
I. A. Vakarchuk, “Density matrices of superfluid helium-4. I”, Theoret. and Math. Phys., 80:3 (1989), 983–991
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. A. Onischuk, “Collective variables. Correlation functions on Gaussian functionals”, Theoret. and Math. Phys., 51:3 (1982), 582–593
I. A. Vakarchuk, I. R. Yukhnovskii, “Microscopic theory of the energy spectrum of liquid HeII”, Theoret. and Math. Phys., 42:1 (1980), 73–80

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	61
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