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F. Dalfovo, S. Giorgini, L. P. Pitaevskii and S. Stringari, cond-mat/9806038.
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4
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0003755005
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Cambridge University Press, Cambridge
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For historical references, see, for example, A. Griffin, Excitations in a Bose-Condensed Liquid (Cambridge University Press, Cambridge, 1993).
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Excitations in a Bose-Condensed Liquid
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Griffin, A.1
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79960560953
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F. London, Nature 141, 643 (1938).
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London, F.1
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2542615876
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Cambridge University Press, Cambridge, England, Chap. 19
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S. Weinberg, The Quantum Theory of Fields II: Modern Applications (Cambridge University Press, Cambridge, England, 1996), Chap. 19, 21.
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Weinberg, S.1
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14
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85034470903
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See, for example, Sec. 19.5 of Ref. 10 and references therein
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See, for example, Sec. 19.5 of Ref. 10 and references therein.
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16
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25344452036
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The damping rate was independently studied by L. P. Pitaevskii and S. Stringari, Phys. Lett. A235, 398 (1997); P. O. Fedichev and G. V. Shlyapnikov and J. T. M. Walraven, Phys. Rev. Lett. 80, 2269 (1998); and S. Giorgini, Phys. Rev. A57, 2949 (1998).
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Pitaevskii, L.P.1
Stringari, S.2
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0000237433
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The damping rate was independently studied by L. P. Pitaevskii and S. Stringari, Phys. Lett. A235, 398 (1997); P. O. Fedichev and G. V. Shlyapnikov and J. T. M. Walraven, Phys. Rev. Lett. 80, 2269 (1998); and S. Giorgini, Phys. Rev. A57, 2949 (1998).
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Phys. Rev. Lett.
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Fedichev, P.O.1
Shlyapnikov, G.V.2
Walraven, J.T.M.3
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18
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0000438641
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The damping rate was independently studied by L. P. Pitaevskii and S. Stringari, Phys. Lett. A235, 398 (1997); P. O. Fedichev and G. V. Shlyapnikov and J. T. M. Walraven, Phys. Rev. Lett. 80, 2269 (1998); and S. Giorgini, Phys. Rev. A57, 2949 (1998).
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Phys. Rev.
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Giorgini, S.1
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21
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85041148459
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Benjamin, Reading, Mass., Chap. 10
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Forster, D.1
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23
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85034468147
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τ + u · ∇σ (with τ = it).
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τ + u · ∇σ (with τ = it).
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26
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85034461359
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note
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4-term in evaluating the energy spectrum from Eq. (15). However, such a quartic term could be eliminated in comparison with quadratic terms since we are considering the lowest energy excitations. Thus, we would still have a linear spectrum and would derive the same power counting rule as (21). However, the rule would tell us that we do not need include any derivatives of σ from the beginning at all.
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27
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4243426587
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I. J. R. Aitchison, P. Ao, D. J. Thouless and X.-M. Zhu, Phys. Rev. B51, 6531 (1995).
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Aitchison, I.J.R.1
Ao, P.2
Thouless, D.J.3
Zhu, X.-M.4
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29
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85034459371
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To see the point, check with Eq. (7)-(12) of Ref. 5
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To see the point, check with Eq. (7)-(12) of Ref. 5.
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