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note
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Of course, in the case of cylindrical traps, the anisotropy introduces a coupling between the monopole and quadrupole modes, which are described by the quantum numbers (n = 1, l = 0, m = 0) and (n =0, l = 2, m = 0), respectively.
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At low temperature, the collision term is mainly determined by the collisions between one fermion and one condensated boson, which scatters the fermion into another state and produce a Bogoliubov quasiparticle. For such collision procedure, one may derive the semiclassical equation of motions for the Wigner operator of either fermions or Bogoliubov quasiparticles, and one may find that the contribution of the collisions to the condensate is much smaller than that to the fermions.
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45
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85088492780
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i and integrating over the phase space, see Ref. [29] for details.
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46
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