Electron Correlations In The Solid State - Norman H March

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Electron Correlations In The Solid State

By: Norman H March (Editor)

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Hardcover | 14 December 1999

At a Glance

Hardcover
452 Pages

Dimensions(cm)
22.23 x 16.51 x 3.18

Hardcover

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This invaluable book deals with the many-electron theory of the solid state. Mastery of the material in it will equip the reader for research in areas such as high-temperature superconductors and the fractional quantum Hall effect. The whole book has been designed to provide the diligent reader with a wide variety of approaches to many-electron theory.The level of the book is suitable for research workers and higher-degree students in a number of disciplines, embracing theoretical physics, materials science and solid-state chemistry. It should be useful not only to theorists in these areas but also to experimental scientists who desire to orient their programmes to address outstanding questions raised by many-body theory.

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You Can Find This Book In

Non-Fiction Engineering & Technology Electronics & Communications Engineering Electronics Engineering Science Physics Nuclear Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Medicine Medicine in General Quantum Physics & Quantum Mechanics & Quantum Field Theory

Booktopia Publisher Services World Scientific Publishing Applied Physics Astrophysics

Preface
Many-Body Effects in Jellium	p. 1
Dielectric Function	p. 8
Some Applications and Recent Developments	p. 25
Solids with Weak and Strong Electron Correlations	p. 47
Weakly Correlated Systems	p. 50
Strongly Correlated Electron Systems	p. 66
Electron Crystallization	p. 79
Heavy Fermions	p. 83
Ground and Low-Lying Excited States of Interacting Electron Systems; a Survey and Some Critical Analyses	p. 103
Mathematical Preliminaries	p. 113
Generalities	p. 124
The Single-Particle Green Function	p. 125
The (Proper) Self-Energy [Sigma]([epsilon]) and its Analytic Continuation [Sigma](z)	p. 140
Quasi-Particles; Particle-Like Excitations	p. 145
Determination of the Single-Particle Green Function	p. 170
The Density-Density Correlation Function [chi] and the Polarisation Function P	p. 184
The GW Approximation for the Self-Energy	p. 210
Summary and Concluding Remarks	p. 240
On the Representation Spaces and Some Conventions	p. 248
Discontinuity in the Time Domain versus Asymptotic Behaviour in the Energy Domain	p. 249
List of Some Symbols	p. 251
List of Abbreviations and Acronyms	p. 252
Failure of Fermi Liquid Theory in Two and Three Dimensions	p. 263
Definition of Fermi Liquid and Tomographic Luttinger Liquid States	p. 265
Anderson Anomaly in 2D	p. 267
Zero Sound and Failure of Fermi Liquid State	p. 276
Calculation	p. 277
Connection to Anderson's Proposal	p. 288
RG Analysis and Failure of Fermi Liquid Theory in Two and Three Dimensions	p. 289
Tomographic Luttinger Liquid as an Ideal Gas of Condensed Fermionic Strings	p. 292
Zero Sounds as RVB Gauge Fields	p. 293
Summary	p. 294
Quantum Phase Transitions in Electronic Systems	p. 297
Scaling at Quantum Critical Points	p. 304
Fermionic Field Theory	p. 309
Magnetic Transitions at Zero Temperature	p. 328
Superconductor-Metal Transition at Zero Temperature	p. 341
Metal-Insulator Transitions	p. 345
Density Matrices, Density Functional Theory and Quantum Monte Carlo Calculations	p. 371
Density Matrices	p. 372
Density Functional Theory: Exchange and Correlation Potentials	p. 376
Density Matrices and Density Functionals in Strong Magnetic Fields	p. 386
Time-Dependent Density Functional Theory	p. 403
Illustrative Examples of Density Matrix and Density Functional Theory	p. 408
Quantum Monte Carlo Studies: Brief Summary	p. 415
Acknowledgments	p. 422
Some further properties of density matrices, including spin	p. 423
Hartree - Fock approximation in a magnetic field	p. 426
Magnetic field dependent density functional and density matrix theory; forms of exchange - correlation potential	p. 428
References	p. 432
Table of Contents provided by Blackwell. All Rights Reserved.

Electron Correlations In The Solid State

At a Glance

Hardcover

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