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Two-particle problem in a nonequilibrium many-particle system.

T Bornath1, D Kremp, M Schlanges

  • 1Fachbereich Physik, Universität Rostock, 18051 Rostock, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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This study generalizes Kadanoff-Baym equations for two-particle Green's functions in nonequilibrium systems. It provides an exact two-time structure, avoiding approximations for broader applicability in many-particle physics.

Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Statistical Mechanics

Background:

  • Investigating two-particle correlations is crucial for understanding nonequilibrium many-particle systems.
  • Existing methods often rely on approximations that limit their applicability.

Purpose of the Study:

  • To develop a generalized framework for two-time two-particle Green's functions in nonequilibrium systems.
  • To provide an exact mathematical treatment that avoids common approximations.

Main Methods:

  • Utilizing real-time Green's functions and the Keldysh contour.
  • Deriving a Dyson equation for two-time two-particle Green's functions.
  • Employing the semigroup property of free-particle propagators for an exact two-time structure.

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Main Results:

  • Generalization of the Kadanoff-Baym equations to two-particle Green's functions.
  • An exact two-time structure for these functions is established.
  • Demonstration that previous results are limited to specific cases (nondegenerate systems or static interactions).

Conclusions:

  • The developed method offers a more universally applicable approach to studying two-particle dynamics in nonequilibrium systems.
  • The findings highlight the limitations of prior approximations and provide a rigorous foundation for future research.
  • Differences compared to equilibrium effective two-particle Hamiltonians are discussed.