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

Online ISBN:
9781383029598
Print ISBN:
9780198566335
Publisher:
Oxford University Press
Book

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

Henrik Bruus,
Henrik Bruus
Department of Physics Technical University of Denmark
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Karsten Flensberg
Karsten Flensberg
Niels Bohr Institute, University of Copenhagen
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Published online:
31 October 2023
Published in print:
2 September 2004
Online ISBN:
9781383029598
Print ISBN:
9780198566335
Publisher:
Oxford University Press

Abstract

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 same time 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-Büttiker formalism and recent 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 of Luttinger 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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