Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction
Cambridge University Press, 3/7/2013
EAN 9780521766173, ISBN10: 0521766176
Hardcover, 620 pages, 24.7 x 17.4 x 3.6 cm
Language: English
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.
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.