Many-Body Quantum Theory in Condensed Matter Physics: An Introduction

Hardcover | February 10, 2005

byHenrik Bruus, Karsten Flensberg

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This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the sametime providing physical motivation and examples. The examples are taken from applications in electron systems and transport theory.On the formal side, the book covers an introduction to second quantization, many-body Green's function, finite temperature Feynman diagrams and bosonization. The applications include traditional transport theory in bulk as well as mesoscopic systems, where both the Landau-Buttiker formalism andrecent developments in correlated transport phenomena in mesoscopic systems and nano-structures are covered. Other topics include interacting electron gases, plasmons, electron-phonon interactions, superconductivity and a final chapter on one-dimensional systems where a detailed treatment ofLuttinger liquid theory and bosonization techniques is given.Having grown out of a set of lecture notes, and containing many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, and is also well suited for self-study.

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From the Publisher

This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the sametime providing physical motivation and exampl...

Henrik Bruus, MIC - Dept of Micro- and Nanotechnology, Technical University of Denmark Karsten Flensberg, Oersted Laboratory, Niels Bohr Institute, Denmark

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Format:HardcoverDimensions:456 pages, 9.45 × 6.61 × 1.19 inPublished:February 10, 2005Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198566336

ISBN - 13:9780198566335

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Table of Contents

1. First and second quantization2. The electron gas3. Phonons: coupling to electrons4. Mean field theory5. Time evolution pictures6. Linear response theory7. Transport in mesoscopic systems8. Green's functions9. Equation of motion theory10. Transport in interacting mesoscopic systems11. Imaginary time Green's functions12. Feynman diagrams and external potentials13. Feynman diagrams and pair interactions14. The interacting electron gas15. Fermi liquid theory16. Impurity scattering and conductivity17. Green's functions and phonons18. Superconductivity19. 1D electron gases and Luttinger liquidsA. Fourier transformationsB. ExercisesC. Index

Editorial Reviews

`... well-designed for its target audience, [...] a well-written manuscript with a good selection of topics.'Derek Lee, Imperial College London