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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 310–317 (Mi znsl4451)  

The two-branch spectrum of excitations of the Bose-condensate

V. S. Yarunin

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Abstract: The two-branch spectrum of excitations of a weakly nonideal Bose-gas is obtained by using the integral over trajectories in the canonical ensemble with constraint. A rearrangment of the spectrum at the condensate density providing equilibrium of the attractive and repulsive forces in the interatomic potential is discovered. The influence of the quantum bosonic oscillations in the ground state on the stability of the branches is investigated. Bibliography: 5 titles.
Received: 01.09.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 313–317
DOI: https://doi.org/10.1007/BF02364993
Bibliographic databases:
Document Type: Article
UDC: 536.7
Language: Russian
Citation: V. S. Yarunin, “The two-branch spectrum of excitations of the Bose-condensate”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 310–317; J. Math. Sci. (New York), 88:2 (1998), 313–317
Citation in format AMSBIB
\Bibitem{Yar95}
\by V.~S.~Yarunin
\paper The two-branch spectrum of excitations of the Bose-condensate
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 310--317
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364857}
\zmath{https://zbmath.org/?q=an:0899.60091|0887.60087}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 313--317
\crossref{https://doi.org/10.1007/BF02364993}
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