# Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures.

@article{Griffin1996ConservingAG, title={Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures.}, author={Griffin}, journal={Physical review. B, Condensed matter}, year={1996}, volume={53 14}, pages={ 9341-9347 } }

We derive and discuss the equations of motion for the condensate and its fluctuations for a dilute, weakly interacting Bose gas in an external potential within the self-consistent Hartree-Fock-Bogoliubov (HFB) approximation. Account is taken of the depletion of the condensate and the anomalous Bose correlations, which are important at finite temperatures. We give a critical analysis of the self-consistent HFB approximation in terms of the Hohenberg-Martin classification of approximations…

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