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arxiv: 1805.04689 · v1 · pith:3EDCU6E5new · submitted 2018-05-12 · 🧮 math-ph · math.MP

On the Hartree-Fock-Bogoliubov equations

Volker Bach , S\'ebastien Breteaux , Thomas Chen , J\"urg Fr\"ohlich , Israel Michael Sigal This is my paper
classification 🧮 math-ph math.MP
keywords equationsapproximationdynamicshartree-fock-bogoliubovapproximatearoundarxivbose
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We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schr\"odinger dynamics of Bose gases. In that paper, we derive, with the help of this approximation, the time-dependent Hartree-Fock-Bogoliubov (HFB) equations, providing an approximate description of the dynamics of quantum fluctuations around a Bose-Einstein condensate and study properties of these equations.

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