1996/10/16 by J. Fricke, Jens Fricke · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech
paper · pdf · doi:10.1006/aphy.1996.0142
published as Ann. Phys. (N.Y.) 252 (1996) 479 · 19 pages, 14 Postscript figures, uses RevTeX, to be published in: Annals of Physics (N.Y.)
arxiv created 1996/10/16 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.