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Equal-Time Hierarchies for Quantum Transport Theory

1996/10/22 by Pengfei Zhuang, Ulrich Heinz · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Quantum, superfluid, helium dynamics #hep-ph

paper · pdf · doi:10.1103/physrevd.57.6525

published as Phys.Rev. D57 (1998) 6525-6543 · 39 pages, no figures, revtex

arxiv created 1996/10/22 · openalex publication_date 1998/05/15 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate in the equal-time formalism the derivation and truncation of infinite hierarchies of equations of motion for the energy moments of the covariant Wigner function. From these hierarchies we then extract kinetic equations for the physical distribution functions which are related to low-order energy moments, and show how to determine the higher order moments in terms of these lowest order ones. We apply the general formalism to scalar and spinor QED with classical background fields and compare with the results derived from the three-dimensional Wigner transformation method.

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