I. A. Vakarchuk, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. I”, TMF, 40:1 (1979), 100–111; Theoret. and Math. Phys., 40:1 (1979), 626

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 40, Number 1, Pages 100–111 (Mi tmf2809)

This article is cited in 13 scientific papers (total in 13 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

Full-text PDF (1287 kB) Citations (13)

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Abstract: A wave function is proposed for the ground state of liquid $\operatorname{He}^4$ that takes into account both long-range correlations that describe the zero-point vibrations of the Bose liquid and the short-range correlations that take into account the hard Core in the potential of the interatomic interaction. The method of collective variables is used to make an exact calculation of the long-range correlations, which describe well a weakly nonideal Bose gas. The short-range correlations are taken into account implicitly. It is shown that to obtain quantitative results in the theory of liquid $\operatorname{He}^4$ the hard core in the interaction potential must be taken into account explicitly.

Received: 21.06.1978

English version:
Theoretical and Mathematical Physics, 1979, Volume 40, Issue 1, Pages 626–633
DOI: https://doi.org/10.1007/BF01019246

Bibliographic databases:

Language: Russian

Citation: I. A. Vakarchuk, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. I”, TMF, 40:1 (1979), 100–111; Theoret. and Math. Phys., 40:1 (1979), 626–633

Citation in format AMSBIB

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\by I.~A.~Vakarchuk, I.~R.~Yukhnovskii

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

\jour TMF

\yr 1979

\vol 40

\issue 1

\pages 100--111

\mathnet{http://mi.mathnet.ru/tmf2809}

\transl

\jour Theoret. and Math. Phys.

\yr 1979

\vol 40

\issue 1

\pages 626--633

\crossref{https://doi.org/10.1007/BF01019246}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG40800010}

Linking options:

https://www.mathnet.ru/eng/tmf2809

https://www.mathnet.ru/eng/tmf/v40/i1/p100

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 13 articles:

Maksim Tomchenko, “Nonuniform Bose–Einstein condensate: I. An improvement of the Gross–Pitaevskii method”, J. Phys. A: Math. Theor., 57:49 (2024), 495202
Maksim D. Tomchenko, “Symmetry properties of the ground state of the system of interacting spinless bosons”, Low Temperature Physics, 48:9 (2022), 651
Maksim Tomchenko, “Nature of Lieb's “Hole” Excitations and Two-Phonon States of a Bose Gas”, J Low Temp Phys, 201:3-4 (2020), 463
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
M.D. Tomchenko, “Microstructure of He II in the Presence of Boundaries”, Ukr. J. Phys., 59:2 (2014), 123
M. D. Tomchenko, “Calculation of the wave functions of the ground and weakly excited states of helium II”, J. Exp. Theor. Phys., 102:1 (2006), 137
I. A. Vakarchuk, “Density matrices of superfluid helium-4. II”, Theoret. and Math. Phys., 82:3 (1990), 308–316
I. A. Vakarchuk, “Density matrices of superfluid helium-4. I”, Theoret. and Math. Phys., 80:3 (1989), 983–991
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
I. A. Vakarchuk, “Bose condensate in liquid $\textrm{He}^4$”, Theoret. and Math. Phys., 65:2 (1985), 1164–1171
I. A. Vakarchuk, I. R. Yukhnovskii, “Microscopic theory of the energy spectrum of liquid HeII”, Theoret. and Math. Phys., 42:1 (1980), 73–80
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”, Theoret. and Math. Phys., 41:1 (1979), 896–903

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

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