Transport equations including many-particle correlations for an arbitrary quantum system. General formalism
Transport equations including many-particle correlations for an arbitrary quantum system. General formalism
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包括任意量子系统的多粒子相关性的输运方程。
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
J. Fricke
中科院分区：
文献类型：
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作者：
J. Fricke
提出了一种新的方法来推导量子多粒子系统的输运方程。这种方法使用运动方程技术，适用于玻色子和费米子，任意相互作用和依赖于时间的外部场的系统。利用r-粒子密度矩阵的簇展开，将多粒子期望值的无限阶运动方程变换为一个等价的相关方程。这种新的等级制度允许以任何顺序系统地打破等级制度。图表推导出这些传输方程。在第二篇论文中，该方法进行了测试，在一维完全可溶的电子-声子模型。
We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent external fields. Using a cluster expansion of the r-particle density matrices the infinite hierarchy of equations of motion for many-particle expectation values is transposed into an equivalent one in terms of correlations. This new hierarchy permits a systematic breaking of the hierarchy at any order. Diagrams are derived for these transport equations. In a second paper the method is tested for exactly soluble electron-phonon models in one dimension.