This book had its origins in lectures presented at EPFL, Lausanne, during two separate visits (the most recent being to IRRMA). The author is most grateful to Professors A. Baldereschi, R. Car, and A. Quattropani for making these visits possible, and for the splendidly stimulating environment provided. Professors S. Baroni and R. Resta also influenced considerably the presentation of material by constructive help and comments. Most importantly, Chapters 4 and 5 were originally prepared for a review article by Professor G. Senatore, then at Pavia and now in Trieste, and myself for Reviews of Modem Physics (1994). In the 'course of this collaboration, he has taught me a great deal, especially about quantum Monte Carlo procedures, and Chapter 5 is based directly on this review article. Also in Chapter 4, my original draft on Gutzwiller's method has been transformed by his deeper understanding; again this is reflected directly in Chapter 4; especially in the earlier sections. In addition to the above background, it is relevant here to point out that, as a backcloth for the present, largely "state of the art," account, there are two highly relevant earlier books: The Many-body Problem in Quantum Mechanics with W.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references (pages [375]-390) and index.
Source of description
Description based on print version record.
Language note
English
Contents
1. Outline
2. Electron Density, Density Matrices and Atomic Properties
3. Homogeneous and Inhomogeneous Electron Assemblies
4. Localized versus Molecular Orbital Theories of Electrons
5. Quantum Monte Carlo Calculation of Correlation Energy
6. Quasiparticles and Collective Excitations (Especially Plasmons)
7. Metal-Insulator Transitions and the Chemical Bond
8. Electronic Correlation in Disordered Systems (Especially Liquid Metals)
9. Magnetically Induced Wigner Solid
Appendixes
Appendix to Chapter 2
A2.1. Density Matrices for Many-Particle Oscillator Model
A2.2. Atomic Energies from Renormalization of Large-Dimensionality Results
A2.3. Size-Extensivity, Cumulants, and Coupled-Cluster Equations
A2.3.1. Different Representations of ?
A2.3.2. Calculating the Ground-State Energy
A2.3.3. Derivation of the Coupled-Cluster Equations
A2.3.4. Independent Mode Approximation
A2.4. The Hiller—Sucher—Feinberg Identity and Improvement of Cusp Condition
A2.5. Two Electrons with Coulomb Interaction Moving in an External Oscillator Potential
A2.5.1. Solution of Schrödinger Equation
A2.5.2. An Exact Solution
A2.5.3. Results
A2.5.4. Some Physical Consequences
Appendix to Chapter 3
A3.1. Example of Spin Density Description: Bloch’s Hartree—Fock Treatment
A3.2. Wave-Number Dependent Magnetic Susceptibility
A3.3. Koster—Slater-Like Model of Criterion for Local Moment Formation
A3.4. Dynamic Properties of Jellium
A3.4.1. Response Function and Screening
A3.4.2. Random Phase Approximation and Beyond
A3.5. Static Local-Field and Dielectric Function Applied to Screened Interactions in Metals
Appendix to Chapter 4
A4.1. Model of Two-Electron Homopolar Molecule
A4.2. Dependence on Atomic Number of Correlation Energies in Neutral Atoms
A4.3. Correlation Energy of Diatomic Molecules versus Number of Electrons
A4.4. Effect of Correlation on von Weizsäcker Inhomogeneity Kinetic Energy: Scaling Properties and Molecular Dissociation
Appendix to Chapter 5
Appendix to Chapter 6
A6.2. Thomas—Fermi Model of Static Dielectric Function of Semiconductor
A6.3. Semiempirical Self-Energy Corrections to Density Functional (LDA) Bands of Semiconductors
A6.3.1. Summary of Technique
A6.3.2. Some Specific Examples
A6.5. Coefficients in the Continued Fraction Expansion
A6.6. Plasmon Properties and Effective Screened Interaction
A6.6.1. Screened Interaction
A6.6.2. Plasmon Properties
A6.7 Some Difficulties with Plasmon-Pole Approximations and Proposed Remedies
A6.8 Different Forms of GW Approximations
A6.8.1. Vertices and Self-Energies
A6.8.2. Summary of Effects of Exchange and Correlation
Appendix to Chapter 7
A7.1. Relation of Resonating Valence Bond and Gutzwiller Methods
A7.2. Reduction of Hubbard and Emery Models to Effective Spin Hamiltonians
A7.2.1. Hubbard Hamiltonian with Strong Electron Repulsion Energy
A7.2.2. Emery Model
A7.3. Luttinger Liquid: Spinons and Holons
A7.3.1. Spin—Charge Separation
A7.3.2. Can a 2D Luttinger Liquid Exist?
A7.3.3. Spinons, Holons and Gapless Spin Excitations
A7.5. Electron Liquids Flowing through Antiferromagnetic Assemblies
Appendix to Chapter 9
A9.1. Electron Liquids and the Quantized Hall State
A9.2. Melting Criteria for Three-Dimensional Classical and Quantal Wigner Crystals
A9.3. Wigner Oscillator in Magnetic Field of Arbitrary Strength
A9.4. Shear Modulus, Electron Density Profile, and Phase Diagram for Two-Dimensional Wigner Crystals
A9.4.1. Observation of Magnetically Induced Wigner Solid (MIWS)
A9.4.2. Electron Density Profile and Shear Modulus
A9.4.3. Limiting Cases: Instabilities and Melting
A9.4.4. The Magnetically Induced Wigner Solid (MIWS)
A9.4.5. Discussion and Summary
References.
ISBN
1-4899-1370-X
OCLC
1066193957
913622186
Doi
10.1007/978-1-4899-1370-8
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...