Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction

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Cambridge University Press, Mar 7, 2013 - Science - 600 pages
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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.
 

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Contents

model Hamiltonians 339
39
Timedependent problems and equations of motion
81
The contour idea
95
Manyparticle Greens functions
125
Oneparticle Greens function
153
Mean field approximations
205
twoparticle Greens function
235
selfenergy
249
MBPT for the twoparticle Greens function
323
Applications of MBPT to equilibrium problems
347
preliminaries
385
manybody formulation
407
Applications of MBPT to nonequilibrium problems
455
From the N roots of to the Dirac 6function
503
KramersKronig relations
582
Index
593

MBPT for the Greens function
275
MBPT and variational principles for the grand potential
295

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About the author (2013)

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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