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Quantum Theory of the Electron Liquid
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Quantum Theory of the Electron Liquid

Quantum Theory of the Electron Liquid

Gabriele F. Giuliani, Giovanni Vignale

778 pages, parution le 30/03/2005

Résumé

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 provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms, and molecules.

One-, two-, and three-dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the wigner crystal; from the Luttinger liquid to the quantum Hall liquid are discussed extensively. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is" highly detailed and based on the simplest, most direct methods. A self-contained, comprehensive presentation of the necessary techniques, from second quantization to canonical transformations to both zero and finite temperature Green's functions is provided.

This comprehensive text will be of value to graduate students in physics, electrical engineering, and quantum chemistry, as well as to practicing researchers in those areas.

L'auteur - Gabriele F. Giuliani

Gabriele F. Giuliani is 3 professor of physics at Purdue university, Indiana, USA. since gaining his Ph.D. at the 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 at 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. Professor 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.

L'auteur - Giovanni Vignale

Giovanni Vignale is the Millsap Professor of Physics at the university of Missouri-Columbia. After graduating from the Scuola Normale Superiore in Pisa in 1979 and gaining his Ph.D. at Northwestern university in 1984, he has carried out research at the Max-Planck-institute for Solid State Research in Stuttgart, Germany, and oak Ridge National Laboratory, USA. He was made a fellow of the American Physical Society in 1997. Professor vignale's main areas of research are many-body theory and density functional theory and he has over 100 papers in print.

Sommaire

  • Introduction to the electron liquid
  • The Hartree-Fock approximation
  • Linear response theory
  • Linear response of independent electrons
  • Linear response of an interacting electron liquid
  • The perturbative calculation of linear response functions
  • Density functional theory
  • The normal Fermi liquid
  • The one-dimensional electron gas and the Luttinger liquid
  • The two-dimensional electron gas at high magnetic field
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Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Gabriele F. Giuliani, Giovanni Vignale
Parution 30/03/2005
Nb. de pages 778
Format 18 x 25
Couverture Relié
Poids 1762g
Intérieur Noir et Blanc
EAN13 9780521821124
ISBN13 978-0-521-82112-4

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