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arXiv 1208.5372quant-ph
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涌现量子欧拉方程与玻色-爱因斯坦凝聚体

Emergent quantum Euler equation and Bose-Einstein condensates

Maxim V. Eingorn, Vitaliy D. Rusov

摘要:

本文从最近发展起来的从经典方程推导量子力学方程的方法出发,推导了粒子之间存在两两相互作用的理想流体和非理想流体的完整流体动力学方程组,包括量子欧拉方程。对于后者的玻色-爱因斯坦凝聚体,元激发的Bogolyubov谱在声学近似下很容易再现。

英文摘要:

In this paper, proceeding from the recently developed way of deriving the quantum-mechanical equations from the classical ones, the complete system of hydrodynamical equations, including the quantum Euler equation, is derived for a perfect fluid and an imperfect fluid with pairwise interaction between the particles. For the Bose-Einstein condensate of the latter one the Bogolyubov spectrum of elementary excitations is easily reproduced in the acoustic approximation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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