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arXiv 1602.02746cond-mat.stat-mech
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相互作用粒子的玻色-爱因斯坦凝聚的简单模型

A simple model of Bose-Einstein condensation of interacting particles

Yu. M. Poluektov

摘要:

本文提出了一个相互作用粒子的玻色-爱因斯坦凝聚的简单模型。它表明,在冷凝状态下的相互作用常数的热力学量的依赖性不允许在幂的耦合常数的扩展。因此,不可能通过限制通道,将相互作用常数设为零,从而达到理想玻色气体中凝聚的爱因斯坦模型。粒子间相互作用的解释消除了理想气体模型中描述凝结的困难,这些困难与热力学关系的满足和凝结相中粒子数波动的无穷大值有关。

英文摘要:

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the coupling constant. Therefore it is impossible to pass to the Einstein model of condensation in an ideal Bose gas by means of a limiting passage, setting the interaction constant to zero. The account for the interaction between particles eliminates difficulties in the description of condensation available in the model of an ideal gas, which are connected with fulfillment of thermodynamic relations and an infinite value of the particle number fluctuation in the condensate phase.

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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