Overview

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.

Full Product Details

Author:   Gianluca Stefanucci (Università degli Studi di Roma 'Tor Vergata') ,  Robert van Leeuwen (University of Jyväskylä, Finland)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 18.00cm , Height: 3.60cm , Length: 25.10cm
Weight:   1.410kg
ISBN:  

9780521766173

ISBN 10:   0521766176
Pages:   620
Publication Date:   07 March 2013
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

Preface; 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; Appendices; Index.

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Author Information

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 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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