Nonequilibrium Many-Body Theory of Quantum Systems
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A Modern Introduction Author: Stefanucci, Gianluca (Universita degli Studi di Roma 'Tor Vergata') / van Leeuwen, Robert (university of jyvaskyla, Finland) Publisher: Cambridge University Press ISBN: 9781009536790 Cover: HARDCOVER Date: 2025年01月 DESCRIPTION DescriptionContentsResourcesCoursesAbout the Authors The Green's function method is among the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. With entirely new chapters and updated example problems, the second edition of this popular text continues to provide an ideal introduction to nonequilibrium many-body quantum systems and ultrafast phenomena in modern science. Retaining the unique and self-contained style of the original, this new edition has been thoroughly revised to address interacting systems of fermions and bosons, simplified many-body approaches like the GKBA, the Bloch equations and the Boltzmann equations and the connection between Green's functions and newly developed time-resolved spectroscopy techniques. Small gaps in the theory have been filled, and frequently overlooked subtleties have been systematically highlighted and clarified. With an abundance of illustrative examples, insightful discussions and modern applications, this book remains the definitive guide for students and researchers alike. Revised throughout and updated to include the latest developments in the field Features step-by-step derivations of all results and a detailed discussion of their physical meaning, as well as modern applications and meticulously chosen examples allowing the reader to appreciate the underlying physical content of every formal development Contains an entirely new and original chapter, recently developed by the authors on Green's functions for nonequilibrium fermion-boson systems, introducing the quantum theory of electrons and phonons, and representing a significant milestone in recent scientific achievements 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. Nonequilibrium Green's functions 6. One-particle Green's function: exact results 7. One-particle Green's function: diagrammatic expansion 8. Hartree-Frock approximation 9. Kadanoff-Baym equations 10. Self-energy and screened interaction: exact results 11. Grand potential: diagrammatic expansion and variational forms 12. Conserving approximations 13. Linear response theory 14. Two-particle Green's function: diagrammatic expansion 15. Electron gas: equilibrium and nonequilibrium correlation effects 16. Green's functions for nonequilibrium fermion-boson systems 17. From Green's functions to simplified many-body approaches
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