RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Pis'ma v Zh. Èksper. Teoret. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Pis'ma v Zh. Èksper. Teoret. Fiz., 2013, Volume 98, Issue 1, Pages 38–42 (Mi jetpl3461)  

This article is cited in 1 scientific paper (total in 1 paper)

CONDENSED MATTER

Ground-state energy of quantum liquids

A. M. Dyugaevab, P. D. Grigor'evb, E. V. Lebedevac

a Max Planck Institute for the Physics of Complex Systems
b Landau Institute for Theoretical Physics, Russian Academy of Sciences
c Institute of Solid State Physics, Russian Academy of Sciences

Abstract: The kinetic ($K^{0}_{4}(n)$ and $K^{0}_{3}(n)$) and potential ($V^{0}_{4}(n)$ and $V^{0}_{3}(n)$) energies of $^4$He and $^3$He atoms have been found from the law of corresponding states and the experimental data on the dependence of the ground-state energies $E^{0}_{4}(n)$ and $E^{0}_{3}(n)$ on the density of the isotopes $^4$He and $^3$He. In the approximation of structureless quantum liquid, the potential energies are equal, $V^{0}_{4}(n)=V^{0}_{3}(n)$, and the kinetic energies are inversely proportional to the atomic mass, $K^{0}_{4}(n)=\frac{3}{4}K^{0}_{3}(n)$ . The potential energy given by the expression $V^{0}=4E^{0}_{4}-3E^{0}_{3}$ to a high accuracy is linear in the density $n$, which is associated with nearly an absence of short-range order in liquid helium. The kinetic energy of liquid $^4$He is given by the expression $K^{0}_{4} = 3 (E^{0}_{3}-E^{0}_{4})$, which agrees with the experimental data on neutron scattering in liquid $^4$He. The quantities $K^{0}_{4}(n)$ and $K^{0}_{3}(n)$ determine the scale of all thermodynamic characteristics in the temperature range where the effects of the particle statistics can be neglected.

DOI: https://doi.org/10.7868/S0370274X13130080

Full text: PDF file (198 kB)
References: PDF file   HTML file

English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 98:1, 33–37

Bibliographic databases:

Received: 10.04.2013
Revised: 04.06.2013

Citation: A. M. Dyugaev, P. D. Grigor'ev, E. V. Lebedeva, “Ground-state energy of quantum liquids”, Pis'ma v Zh. Èksper. Teoret. Fiz., 98:1 (2013), 38–42; JETP Letters, 98:1 (2013), 33–37

Citation in format AMSBIB
\Bibitem{DyuGriLeb13}
\by A.~M.~Dyugaev, P.~D.~Grigor'ev, E.~V.~Lebedeva
\paper Ground-state energy of quantum liquids
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2013
\vol 98
\issue 1
\pages 38--42
\mathnet{http://mi.mathnet.ru/jetpl3461}
\crossref{https://doi.org/10.7868/S0370274X13130080}
\elib{http://elibrary.ru/item.asp?id=20687419}
\transl
\jour JETP Letters
\yr 2013
\vol 98
\issue 1
\pages 33--37
\crossref{https://doi.org/10.1134/S0021364013140051}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000324571700008}
\elib{http://elibrary.ru/item.asp?id=20456999}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884523067}


Linking options:
  • http://mi.mathnet.ru/eng/jetpl3461
  • http://mi.mathnet.ru/eng/jetpl/v98/i1/p38

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


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

    This publication is cited in the following articles:
    1. Lebedeva E.V., Dyugaev A.M., Grigor'ev P.D., Low Temp. Phys., 40:6 (2014), 475–481  crossref  adsnasa  isi  elib  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:160
    Full text:43
    References:40
    First page:8

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020