Starting with an N body system describing a Bose gas at finite temperatures, we derive a new model that contains a Gross–Pitaevskii equation of motion for the condensate wave function and a quantum Boltzmann equation for the excitations. The model is valid for a wide range of finite temperatures and approaches the standard ZNG model when the temperature of the system T is close to the Bose–Einstein condensate (BEC) transition temperature \(T_c\).

中文翻译：

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在热云-玻色-爱因斯坦凝结水耦合系统上

从描述有限温度下的玻色气体的N体系统开始，我们导出了一个新模型，该模型包含用于凝结波函数的Gross-Pitaevskii运动方程和用于激发的量子Boltzmann方程。该模型适用于广泛的有限温度，并且在系统T的温度接近Bose-Einstein冷凝物（BEC）转变温度\（T_c \）时接近标准ZNG模型。