Expanding upon previous work, using the path-integral formalism we derive expressions for the one-particle reduced density matrix and the two-point correlation function for a quadratic system of bosons that interact through a general class of memory kernels. The results are applied to study the density, condensate fraction, and pair correlation function of trapped bosons harmonically coupled to external distinguishable masses.

中文翻译：

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具有记忆功能的玻色子热力学的路径积分方法：密度和相关函数

扩展先前的工作，使用路径积分形式主义，我们推导出单粒子减少密度矩阵的表达式和玻色子二次系统的两点相关函数，它们通过一类一般的记忆内核相互作用。结果用于研究与外部可分辨质量谐波耦合的被困玻色子的密度、凝聚物分数和对相关函数。