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Nonequilibrium Many-Body Theory of Quantum Systems
A Modern Introduction


  • Date Published: March 2013
  • availability: Available
  • format: Hardback
  • isbn: 9780521766173
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About the Authors
  • The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.

    • First book to present a self-contained introduction to the method of the nonequilibrium Green's function, for classroom use at graduate level or self-study at research level
    • Features step-by-step derivations of all results and a detailed discussion of their physical meaning, helping readers to derive and generalize common formulas and gain insight into their physical applications
    • Includes several original examples to help readers to understand abstract mathematical concepts via direct application to concrete problems
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    16th Oct 2014 by Hardppy

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    Product details

    • Date Published: March 2013
    • format: Hardback
    • isbn: 9780521766173
    • length: 620 pages
    • dimensions: 251 x 180 x 36 mm
    • weight: 1.41kg
    • contains: 103 b/w illus. 3 tables 79 exercises
    • availability: Available
  • Table of Contents

    1. Second quantization
    2. Getting familiar with second quantization: model Hamiltonians
    3. Time-dependent problems and equations of motion
    4. The contour idea
    5. Many-particle Green's functions
    6. One-particle Green's function
    7. Mean field approximations
    8. Conserving approximations: two-particle Green's function
    9. Conserving approximations: self-energy
    10. MBPT for the Green's function
    11. MBPT and variational principles for the grand potential
    12. MBPT for the two-particle Green's function
    13. Applications of MBPT to equilibrium problems
    14. Linear response theory: preliminaries
    15. Linear response theory: many-body formulation
    16. Applications of MBPT to nonequilibrium problems

  • Authors

    Gianluca Stefanucci, Università degli Studi di Roma 'Tor Vergata'
    Gianluca Stefanucci is Researcher at the Physics Department of the University of Rome Tor Vergata, Italy. His current research interests are in quantum transport through nanostructures and nonequilibrium open systems.

    Robert van Leeuwen, University of Jyväskylä, Finland
    Robert van Leeuwen is Professor of Physics at the University of Jyväskylä in Finland. His main areas of research are time-dependent quantum systems, many-body theory and quantum transport through nanostructures.

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