Many-body theory of molecules, clusters, and condensed phases /
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| Imprint: | Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2010. |
|---|---|
| Description: | 1 online resource (xxi, 882 pages) : illustrations |
| Language: | English |
| Series: | World scientific series in 20th century physics ; v. 41 World Scientific series in 20th century physics ; v. 41. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11212869 |
Table of Contents:
- pt. 1. Quantal electron crystals. 1. Kinetic and potential energies of an electron gas / N.H. March. 2. Probability density of electron separation in a uniform electron gas / N.H. March and W.H. Young. 3. A density matrix approach to correlation in a uniform electron gas / W.H. Young and N.H. March. 4. Localization of electrons in impure semiconductors by a magnetic field / J. Durkan, R.J. Elliott, and N.H. March. 5. Electrical conduction in the Wigner lattice in n type InSb in a magnetic field / C.M. Care and N.H. March. 6. Electron crystallization / C.M. Care and N.H. March. 7. Thermodynamics of Wigner crystallization / M. Parrinello and N.H. March. 8. Phenomenological theory of first- and second-order metal-insulator transitions at absolute zero / N.H. March, M. Suzuki, and M. Parrinello. 9. Cooperative magnetism in metallic jellium and in the insulating Wigner electron crystal / F. Herman and N.H. March. 10. Quantum-mechanical Wigner electron crystallization with and without magnetic fields / M.J. Lea and N.H. March. 11. The electron liquid-solid phase transition in two dimensions in a magnetic field / M.J. Lea and N.H. March. 12. The shear modulus and the phase diagram for two-dimensional Wigner electron crystals / M.J. Lea and N.H. March. 13. Thermodynamics of melting of a two-dimensional Wigner electron crystal / M.J. Lea, N.H. March, and W. Sung. 14. Can the hole liquid undergo Wigner crystallization in high-T[symbol]La[symbol]-xSrx CU0[symbol] at low density? / N.H. March, B.V. Paranjape, and F. Siringo. 15. Self-consistent force constant calculation for a two-dimensional Wigner electron crystal in high magnetic fields, and limitations of Lindemann's Law of melting / F. Siringo, M.J. Lea, and N.H. March. 16. Remnants of the Fermi surface in the Wigner electron crystal phase of a strongly interacting one-dimensional system / A. Holas and N.H. March. Melting of Wigner electron crystals : phenomenology and anyon magnetism / M.J. Lea, N.H. March, and W. Sung. 18. Melting of a magnetically induced Wigner electron solid and anyon properties / N.H. March. 19. Recent progress in the field of electron correlation / G. Senatore and N.H. March. 20. Thermodynamics of the equilibrium between a fractional quantum Hall liquid and a Wigner electron solid / N.H. March. 21. Fulleride superconductivity compared and contrasted with RVB theory of high Tc cuprates / R.H. Squire and N.H. March. 22. Fingerprints of quantal Wigner solid-like correlations in D-dimensional assemblies / N.H. March and R.H. Squire. 23. On the phase diagram of a two-dimensional electron gas near integer fillings and fractions such as 1/5 and 1/7 / F. Claro, A. Cabo, and N.H. March. 24. Wigner bosonic molecules with repulsive interactions and harmonic confinement / P. Capuzzi, N.H. March, and M.P. Tosi. 25. Phase diagram of two-dimensional electron gas in a perpendicular magnetic field around Landau level filling factors v = 1 and 3 / N.H. March, A. Cabo, and F. Claro. 26. Quantum statistics of charged particles and fingerprints of Wigner crystallization in D dimensions / N.H. March
- pt. 2. Structure, forces and electronic correlation functions in liquid metals. pt. 2a. Nuclear structure factor and pair potentials in some sp liquid metals. 1. Electronic momentum distribution in liquid metals and long-range oscillatory interactions between ions / T. Gaskell and N.H. March. 2. Long-range oscillatory interaction between ions in liquid metals / M.D. Johnson and N.H. March. 3. Interaction energies between defects in metals / J. Worster and N.H. March. 4. Interatomic forces and the structure of liquids / J.E. Enderby and N.H. March. 5. Small angle scattering from liquids : van der Waals forces in argon and collective mode in Na / C.C. Matthai and N.H. March. 6. Structure and forces in simple liquid metals / I. Ebbsjö, G.G. Robinson, and N.H. March. 7. Properties of liquid direct correlation function at melting temperature related to vacancy formation energy in condensed phases of rare gases / A.B. Bhatia and N.H. March. 8. Relation between principal peak height, position and width of structure factor in dense monatomic liquids / A.B. Bhatia and N.H. March. 9. Electron correlation, chemical bonding and the metal-insulator transition in expanded fluid alkalis / N.H. March. 10. Magnetic susceptibility of expanded fluid alkali metals / R.G. Chapman and N.H. March. 11. Structure inversion: Pair potentials with common characteristics from three theories at low density on liquid-vapour coexistence curve of Cs / J.A. Ascough and N.H. March. 12. Pair potentials for liquid sodium near freezing from electron theory and from inversion of the measured structure factor / F. Perrot and N.H. March. 13. Information content of diffraction experiments on liquids and amorphous solids / N.H. March. 14. Binding in pair potentials of liquid simple metals from nonlocality in electronic kinetic energy / F. Perrot and N.H. March. 15. The deviation of the pair potential from the potential of mean force in molten Na near freezing / K. Tankeswar and N.H. March. 16. Three-particle correlation function and structural theories of dense metallic liquids / K.I. Golden, N.H. March, and A.K. Ray. 17. Long-range polarization interaction in simple liquid metals / M. Blazej and N.H. March. 18. Liquid structural theories of two- and three-dimensional plasmas / K.I. Golden and N.H. March. 19. Nature of chemical bonding in highly expanded heavy alkalis : especially Cs and Rb / G.R. Freeman and N.H. March. 20. Diffraction and transport in dense plasmas : especially liquid metals / N.H. March and M.P. Tosi. 21. Structural corrections to Stokes-Einstein relation for liquid metals near freezing / N.H. March and J.A. Alonso. pt. 2b. Electronic correlation functions in liquid metals. 1. Quantum theory of pure liquid metals as two-component systems / N.H. March and M.P. Tosi. 2. Small-angle scattering from liquid metals and alloys and electronic correlation functions / M.P. Tosi and N.H. March. 3. Electron correlation functions in liquids from scattering data / P.A. Egelstaff, N.H. March, and N.C. McGill. 4. Electron- electron pair correlation function in solid and molten nearly-free electron metals / S. Cusack [and others]. 5. Electron scattering by molten aluminium / A.S. Brah, L. Virdhee, and N.H. March. 6. A diffraction study of the structure of liquid potassium near freezing and density functional theory of pair potentials / M.W. Johnson [and others]. 7. Electronic correlation functions in liquid metals / N.H. March. 8. Local coordination, electronic correlations and relation between thermodynamic and transport properties of sp liquid metals / N.H. March. 9. Thermodynamic consistency and integral equations for the liquid structure / F.E. Leys, N.H. March, and D. Lamoen. 10. Electron-electron correlations in liquid s-p metals / F.E. Leys and N.H. March. 11. Low density observations of Rb and Cs chains along the liquid-vapour coexistence curves to the critical point in relation to quantum-chemical predictions on the metal-insulator transitions in Li and Na rings / G.G.N. Angilella, N.H. March, and R. Pucci
- 3. One-body potential theory of molecules and condensed matter. 3a. Thomas-Fermi semiclassical approximation. 1. Theoretical determination of the electron distribution in benzene by the Thomas-Fermi and the molecular-orbital methods / N.H. March. 2. Thomas-Fermi fields for molecules with tetrahedral and octahedral symmetry / N.H. March. 3. The relation between the Wentzel-Kramers-Brillouin and the Thomas-Fermi approximations / N.H. March and J.S. Plaskett. 4. Non-relativistic theory of atomic and ionic binding energies for large atomic number / N.H. March and R.J. White. 5. Relation between the total energy and eigenvalue sum for neutral atoms and molecules / N.H. March. 6. Exact local density method for linear harmonic oscillator / G.P. Lawes and N.H. March. 7. Chemical potential, Teller's theorem and the scaling of atomic and molecular energies / N.H. March and R.G. Parr. 8. Inhomogeneous electron gas theory of molecular dissociation energies / N.H. March. 9. On the adiabatic connection method, and scaling of electron-electron interactions in the Thomas-Fermi limit / M. Levy, N.H. March, and N.C. Handy. 10. Two-dimensional electrostatic analog of the March model of C60 with a semiquantitative application to planar ring clusters / C. Amovilli and N.H. March. pt. 3b. Transcending Thomas-Fermi theory. 1.
- Approximate solutions of the density matrix equation for a local average field / N.H. March and W.H. Young. 2. Relation between Dirac and canonical density matrices, with applications to imperfections in metals / N.H. March and A.M. Murray. 3. Electron theory of interaction between point defects in metals / G.K. Corless and N.H. March. 4. Exact Thomas-Fermi method in perturbation theory / J.C. Stoddart and N.H. March. 5. Differential equation for the ground-state density in finite and extended inhomogeneous electron gases / N.H. March. 6. Spatially dependent generalization of Kato 's theorem for atomic closed shells in a bare Coulomb field / N.H. March. 7. The local potential determining the square root of the ground-state electron density of atoms and molecules from the Schrödinger equation / N.H. March. 8. Differential equation for Slater sum in an inhomogeneous electron liquid / H. Lehmann and N.H. March. 9. Bound-state plus continuum electron densities, and Slater sum, in a bare Coulomb field / S. Pfalzner, H. Lehmann, and N.H. March. 10. Exact exchange-correlation potential and approximate exchange potential in terms of density matrices / A. Holas and N.H. March. 11. Line-integral formulas for exchange and correlation potentials separately / M. Levy and N.H. March.
- 12. Potential-locality constraint in determining an idempotent density matrix from diffraction experiment / A. Holas and N.H. March. 13. Field dependence of the energy of a molecule in a magnetic field / A. Holas and N.H. March. 14. Nonrelativistic exchange-energy density and exchange potential in the lowest order of the 1/Z expansion for ten-electron atomic ions / I.A. Howard [and others]. 15. Nuclear cusp conditions for components of the molecular energy density relevant for density-functional theory / N.H. March [and others]. 16. Nonrelativistic variationally optimized exchange potentials for Ne-like atomic ions having large atomic number / I.A. Howard, N.H. March, and J.D. Talman. 17. Recent progress in constructing nonlocal energy density functionals / N.H. March, I.A. Howard, and V.E. Van Doren. 18. Propagator and Slater sum in one-body potential theory / N.H. March and I.A. Howard. 19. Corrections to Slater exchange potential in terms of Dirac idempotent density matrix : With an approximate application to Be-like positive atomic ions for large atomic number / I.A. Howard and N.H. March. 20. Idempotent density matrix derived from a local potential V(r) in terms of HOMO and LUMO properties / I.A. Howard, N.H. March, and P.W. Ayers. 21. Electrostatic interpretation of the force [symbol] connected with the exchange-correlation potential : Direct relation to single-particle kinetic energy in the Be-atom / N.H. March, P. Geerlings, and K.D. Sen. 22. Exchange potential via functional differentiation of the Dirac idempotent density matrix / N.H. March and I.A. Howard. 23. Idempotent density matrix derived from a local potential V (r) in terms of HOMO and LUMO properties / I.A. Howard, N.H. March, and P.W. Ayers. 24. Can the exchange-correlation potential of density functional theory be expressed solely in terms of HOMO and LUMO properties? / I .A. Howard and N.H. March. 25. Differential virial theorem in relation to a sum rule for the exchange- correlation force in density-functional theory / A. Holas, N.H. March, and A. Rubio. 26. Exchange-correlation potential in terms of the idempotent Dirac density matrix of DFT / C. Amovilli and N.H. March. 27. Integral equation theory of the exchange potential, HOMO-LUMO properties, and sum rules for the exchange-correlation force / I.A. Howard and N.H. March. 28. Formally exact integral equation theory of the exchange-only potential in density-functional theory: Refined closure approximation / N.H. March and A. Nagy. pt. 3c. Applications of one-body potential theory : Local and nonlocal. 1. Electronic wave functions round a vacancy in a metal / N.H. March and A.M. Murray. 2. Self-consistent perturbation treatment of impurities and imperfections in metals / N.H. March and A.M. Murray. 3. Lattice dynamics, X-ray scattering and one-body potential theory / W. Jones and N.H. March. 4. Density-functional theory of magnetic instabilities in metals / J.C. Stoddart and N.H. March. 5. Exchange energy as functional of electronic density from Hartree-Fock theory of inhomogeneous electron gas / A.M. Beattie, J.C. Stoddart, and N.H. March. 6. Foundations of Walsh's rules for molecular shape / N.H. March. 7. The density matrix, density and Fermi hole in Hartree-Fock theory / K.A. Dawson and N.H. March. 8. Asymptotic formula far from nucleus for exchange energy density in Hartree-Fock theory of closed shell atoms / N.H. March. 9. Slater sum and kinetic energy tensor in some simple inhomogeneous electron liquids / C. Amovilli and N.H. March. 10. Correction to Slater exchange potential to yield exact K ohn-Sham potential generating the Hartree-Fock density / A. Holas and N.H. March. 11. The March model applied to boron cages / C. Amovilli and N.H. March. 12. Dependence of the [symbol]-electron eigenvalue sum on the number of atoms in almost spherical C cages / C. Amovilli [and others]. 13. Nonlocal energy density functionals : Models plus some exact general results / N.H. March. 14. Ground-state geometry and electronic structure of light atom clusters, especially H isotopes, Li, B, and C / N.H. March. 15. BeB2 nanostructures : a density functional study / L.M. Molina [and others]. 16. Two-dimensional electmstatic analog of the March model of C60 with a semiquantitative application to planar ring clusters / C. Amovilli and N.H. March. 17. Molecules in clusters : the case of planar LiBeBCNOF built from a triangular form LiOB and a linear four-center species FBeCN / N.H. March, and R. Pucci.