Gapless Hartree-Fock-Bogoliubov Approximation for Bose Gases

Details Gapless Hartree-Fock-Bogoliubov Approximation for Bose Gases Gapless Hartree-Fock-Bogoliubov Approximation for Bose Gases

2006-06-19

arxiv.org/abs/cond-mat/0606484v1

Phys.Rev. A73 (2006) 063612

Physics

Condensed Matter

Statistical Mechanics

Latex file, 22 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.063612

A dilute Bose system with Bose-Einstein condensate is considered. It is shown that the Hartree-Fock-Bogolubov approximation can be made both conserving as well as gapless. This is achieved by taking into account all physical normalization conditions, that is, the normalization condition for the condensed particles and that for the total number of particles. Two Lagrange multipliers, introduced for preserving these normalization conditions, make the consideration completely self-consistent.

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