
This article is cited in 4 scientific papers (total in 4 papers)
Microscopic theory of the energy spectrum of liquid HeII
I. A. Vakarchuk^{}, I. R. Yukhnovskii^{}
Abstract:
The wave function $\psi_k$ of the lowest excites state of manyboson system is represented as the product of the wave function of the ground state $\psi_0=e^U$ and the function $\varphi_k$ which takes into account the existence of the excitation with the momentum $\hbar k$ and the energy $E(k)$. The function $U$ and $\varphi_k$ are represented as the series over the collective
variables which are the Fourier coefficients of the operator of density fluctuations. The systems of coupled equations for the coefficient functions of these series are derived. The system of two integral equations connecting the excitation spectrum $E(k)$ with the structure factor of the system is obtained by means of breaking the chain of equations. This makes it possible to apply the results obtained to the liquid $\mathrm{He}^4$. The damping of the spectrum is described. It is shown that the expansion of the spectrum in the limit of small momentum $\hbar k$ includes the odd powers of $\hbar k$ only.
Full text:
PDF file (1416 kB)
References:
PDF file
HTML file
English version:
Theoretical and Mathematical Physics, 1980, 42:1, 73–80
Bibliographic databases:
Received: 25.10.1978
Citation:
I. A. Vakarchuk, I. R. Yukhnovskii, “Microscopic theory of the energy spectrum of liquid HeII”, TMF, 42:1 (1980), 112–123; Theoret. and Math. Phys., 42:1 (1980), 73–80
Citation in format AMSBIB
\Bibitem{VakYuk80}
\by I.~A.~Vakarchuk, I.~R.~Yukhnovskii
\paper Microscopic theory of the energy spectrum of liquid HeII
\jour TMF
\yr 1980
\vol 42
\issue 1
\pages 112123
\mathnet{http://mi.mathnet.ru/tmf3727}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 1
\pages 7380
\crossref{https://doi.org/10.1007/BF01019263}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KA96200012}
Linking options:
http://mi.mathnet.ru/eng/tmf3727 http://mi.mathnet.ru/eng/tmf/v42/i1/p112
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:

V. A. Onischuk, “Collective variables. Correlation functions on Gaussian functionals”, Theoret. and Math. Phys., 51:3 (1982), 582–593

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 $T=0$”, Theoret. and Math. Phys., 66:1 (1986), 81–97

I. A. Vakarchuk, P. A. Glushak, “Free energy of a manyboson system at low temperatures”, Theoret. and Math. Phys., 75:1 (1988), 399–408

Vakarchuk I.O. Pastukhov V.S. Prytula R.O., “Theory of Structure and Thermodynamic Function of Liquid He4 (Review Article)”, Low Temp. Phys., 39:9 (2013), 741–751

Number of views: 
This page:  178  Full text:  72  References:  20  First page:  2 
