A new method is proposed to obtain Gross–Pitaevskii equation by the chain of Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) quantum kinetic equations. In that sense, we investigate the dynamics of a quantum system including infinite number of identical particles which interact via a (special) pair potential on the form of Dirac delta-function.

中文翻译：

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多粒子情况下 Gross–Pitaevskii 方程的推广

提出了一种通过Bogoliubov-Born-Green-Kirkwood-Yvon（BBGKY）量子动力学方程链获得Gross-Pitaevskii方程的新方法。从这个意义上说，我们研究了一个量子系统的动力学，包括无限数量的相同粒子，这些粒子通过狄拉克δ函数形式的（特殊）对势相互作用。