Electron Correlations in Solids, Molecules, and Atoms

'Determination of S(q,?) by Inelastic Electron and X-ray Scattering.- Random phase approximation.- Static screening.- Finite frequency, small wave vector response.- Ultraviolet optical properties.- Inelastic electron scattering.- Beyond the random phase approximation.- Physical meaning of the function parameters.- High q measurements.- Stronger periodic fields.- Collective effects in atoms: a test case.- References.- Charge Density Wave Phenomena in Potassium.- I. The mysteries of the simple metals.- Charge-density-wave structure.- Mayer-El Naby optical anomaly.- Low temperature magnetoresistance.- Induced-Torque measurements.- The oil drop effect.- Other anomalous phenomena.- II. Phasons: what they are and what they do.- Phase modulation.- Relation between phasons and phonons.- The phason heat capacity.- Low temperature resistivity.- Point constant spectroscopy.- Phason thermal diffuse scattering.- III. Theory of charge density waves.- SDW-CDW instability theorem.- The correlation energy correction.- Analogy with uniform deformations.- Conclusions.- References.- Electron-Hole Liquid: Role of Correlations.- I. Introduction.- II. What is an electron-hole liquid?.- III. Is the plasma phase more stable than the excitonic phase?.- IV. Ground state energy of EHL in Ge.- (1) Band structure of Ge.- (2) Kinetic energy.- (3) Exchange-correlation energy.- (a) Self-consistent scheme for one-component system.- (b) Generalization to EHL.- (c) Ground state energy of EHL in Ge.- V. EHL in stressed Ge.- VI. Phase separation of "Hot" and "Cold" liquids.- VII. Remarks on correlations in a model e-h system.- References.- Kinetic Equations and Two-particle Correlations in the Homogeneous Electron Liquid.- 1. Basic definitions and formulas.- 2. Wigner distribution functions and the kinetic equations.- 3. Approximate decoupling procedures for the two- particles Wigner function.- 4. The kinetic equation for the two-particle Wigner function and some exact asymptotic formulas.- 5. Dynamic properties and the Mori formalism.- References.- Dynamical Exchange Effects in the Dielectric Function of the Electron Gas.- I: The jellium model: elementary concepts.- A. Ground state energy.- B. Collective and single-particle excitations.- C. Effective potential and density-functional formalism.- D. Fundamental properties of the dielectric function.- E. Dynamical exchange effects in the dielectric function.- References.- II: Dielectric function of the electron gas with dynamical exchange decoupling.- A. Introduction.- B. Derivation of G(q,?) via dynamical exchange decoupling.-
1. Dynamical exchange decoupling in the equation of motion for the Wigner distribution function.-
2. Linearization in the external field.-
3. Variational procedure.-
4. Theorem.-
5. Comparison with other dynamical approximations.- C. Analytical treatment of G(q,?).- Appendix A: Evaluation of G(q,?) by elementary methods.- References.- III: Discussion and comparison with first-order perturbation theory.- A. Introduction.- B. Consistency requirements.- C. Discussion of numerical results.-
1. Static limit.-
2. Dynamical behaviour of G(q,?).-
3. Dynamical behaviour of ?(q,?) and plasmon dispersion.-
4. Remark on spin density waves.- D. Comparison with first-order perturbation theory.- References.- Liquid Alkali Metals and Alkali-Based Alloys as Electron-Ion Plasmas.- 1. Introduction.- 2. Some results of electron screening for crystal-line metals.- 2.1. Phonon dispersion curves.- 2.2. Cohesive energy.- 3. Electron screening for liquid metals.- 3.1. Compressibility by the method of long waves.- 3.2. Cohesive properties.- 4. Structure factor of liquid alkali metals.- 4.1. Structure of the OCP at strong coupling.- 4.2. Structure of liquid alkali metals.- 5. Thermodynamic properties of liquid alkali alloys by the method of long waves.- 6. Some other alkali-based liquids.- 6.1. Solutions of molten alkali