Title Many-body quantum theory in condensed matter physics : an introduction / Henrik Bruus, Karsten Flensberg

Published Oxford ; New York : Oxford University Press, 2004

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Description 1 online resource (xix, 435 pages) : illustrations Series Oxford graduate texts Oxford graduate texts. Contents First and second quantization -- First quantization, single-particle systems -- First quantization, many-particle systems -- Permutation symmetry and indistinguishability -- The single-particle states as basis states -- Operators in first quantization -- Second quantization, basic concepts -- The occupation number representation -- The boson creation and annihilation operators -- The fermion creation and annihilation operators -- The general form for second quantization operators -- Change of basis in second quantization -- Quantum field operators and their Fourier transforms -- Second quantization, specific operators -- The harmonic oscillator in second quantization -- The electromagnetic field in second quantization -- Operators for kinetic energy, spin, density and current -- The Coulomb interaction in second quantization -- Basis states for systems with different kinds of particles -- Second quantization and statistical mechanics -- Distribution function for non-interacting fermions -- Distribution function for non-interacting bosons -- The electron gas -- The non-interacting electron gas -- Bloch theory of electrons in a static ion lattice -- Non-interacting electrons in the jellium model -- Non-interacting electrons at finite temperature -- Electron interactions in perturbation theory -- Electron interactions in first-order perturbation theory -- Electron interactions in second-order perturbation theory -- Electron gases in 3, 2, 1 and 0 dimensions -- 3D electron gases: metals and semiconductors Summary "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 election systems and transport theory." "Having grown out of a set of lecture notes, incorporating many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, but is also well suited for self-study."--Jacket Bibliography Includes bibliographical references (pages 421-423) and index Notes "Emerged from a set of lecture notes used in courses: Many-particle physics 1 and 2. Notes also used in the course: Transport in nanostructures, taught at the Technical University of Denmark" . - Preface Print version record Subject Many-body problem -- Textbooks Quantum theory -- Textbooks Condensed matter -- Textbooks Many-body problem. Quantum theory. Condensed matter. Quantum Theory SCIENCE -- Energy. SCIENCE -- Mechanics -- General. SCIENCE -- Physics -- General. Condensed matter Many-body problem Quantum theory Festkörperphysik Quantenfeldtheorie Vielteilchentheorie Genre/Form Textbooks Form Electronic book Author Flensberg, Karsten ISBN 9780191057472 0191057479

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