Quantum Theory of the Electron Liquid

by Gabriele Giuliani, Giovanni Vignale

Overview

Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book introduces the quantum theory of the electron liquid and the mathematical techniques that describe it. The electron liquid's behavior is governed by the laws of quantum mechanics which prevail over the microscopic world of atoms and molecules.

Product Details

ISBN-13:	9780521527965
Publisher:	Cambridge University Press
Publication date:	06/19/2008
Edition description:	New Edition
Pages:	800
Product dimensions:	6.70(w) x 9.60(h) x 1.80(d)

About the Author

Gabriele F. Giuliani is a Professor of Physics at Purdue University, Indiana, USA. Since gaining his PhD at Scuola Normale Superiore, Pisa, Italy in 1983, he has held postdoctoral positions at Purdue University and Brown University. He has also conducted research at the University of Pisa, the University of Rome and the International Centre for Theoretical Physics, Trieste, Italy. He joined the faculty of Purdue University in 1984 and has been a Professor of Physics since 1995. Prof. Giuliani's main areas of research are many-body theory, transport in low dimensional electronic systems and superconductivity. He has published more than 60 papers.

Giovanni Vignale is the Millsap Professor of Physics at University of Missouri-Columbia. After graduating from Scuola Normale Superiore in Pisa in 1979 and gaining his PhD at Northwestern University in 1983, he has carried out research at the Max-Planck-Institute for Solid State Research in Stuttgart, Germany and Oak Ridge National Laboratory. He was made a Fellow of the American Physical Society in 1997. Prof. Vignale's main areas of research are many-body theory and density functional theory and he has over 100 papers in print.

Table of Contents

1. Introduction to the electron liquid; 2. The Hartree-Fock approximation; 3. Linear response theory; 4. Linear response of independent electrons; 5. Linear response of an interacting electron liquid; 6. The perturbative calculation of linear response functions; 7. Density functional theory; 8. The normal Fermi liquid; 9. The one-dimensional electron gas and the Luttinger liquid; 10. The two-dimensional electron gas at high magnetic field.

Editorial Reviews

"Quantum Theory of the Electron Liquid is a veritable encyclopedia of a field that continuously rejuvenates itself with fresh physics discoveries and novel materials. Nothing escapes the attention of authors Gabriele F. Giuliani and Giovanni Vignale, who seem to cover the gamut. The book, unquestionably attractive to the more experienced reader, is accessible and designed to be comprehensible to graduate students in condensed matter theory. The reader is guided effectively through a larger body of knowledge that the condensed matter community has produced over the course of 70 years. Quantum Theory of the Electron Liquid is enriched with 25 mathematical appendices elaborating on technical details. The appendices, coupled with the many exercises at the end of each chapter, make the book an unparalleled reference. Every graduate student and researcher studying condensed matter theory should obtain a copy of this exceptional text."
Erio Tosatti, Physics Today

From the Publisher