Derivation of Transport Equations Using the Time-Dependent Projection Operator Method

2001/10/31 by T. Koide, Tomoi Koide · 3 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1143/ptp.107.525

published as Prog.Theor.Phys.107:525-541,2002 · 17 pages, Prog. Theor. Phys. in Press

arxiv created 2002/02/12 · openalex publication_date 2002/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a formalism to carry out coarse-grainings in quantum field theoretical systems by using a time-dependent projection operator in the Heisenberg picture. A systematic perturbative expansion with respect to the interaction part of the Hamiltonian is given, and a Langevin-type equation without a time-convolution integral term is obtained. This method is applied to a quantum field theoretical model, and coupled transport equations are derived.

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