Electron Correlation in Molecules and Condensed Phases [E-Book] / by N. H. March.
March, N. H., (author)
Boston, MA : Springer, 1996
XVI, 396 p. online resource.
englisch
9781489913708
10.1007/978-1-4899-1370-8
Physics of Solids and Liquids
Full Text
Table of 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.