Many-body Approaches at Different Scales

This book presents a collection of invited research and review contributions on recent advances in (mainly) theoretical condensed matter physics, theoretical chemistry, and theoretical physics. The volume celebrates the 90th birthday of N.H. March (Emeritus Professor, Oxford University, UK), a prominent figure in all of these fields. Given the broad range of interests in the research activity of Professor March, who collaborated with a number of eminent scientists in physics and chemistry, the volume embraces quite diverse topics in physics and chemistry, at various dimensions and energy scales. One thread connecting all these topics is correlation in aggregated states of matter, ranging from nuclear physics to molecules, clusters, disordered condensed phases such as the liquid state, and solid state physics, and the various phase transitions, both structural and electronic, occurring therein. A final chapter leaps to an even larger scale of matter aggregation, namely the universe andgravitation. A further no less important common thread is methodological, with the application of theoretical physics and chemistry, particularly density functional theory and statistical field theory, to both nuclear and condensed matter.

Auteur
G.G.N. Angilella is Associate Professor in Condensed Matter Theory at the Department of Physics and Astronomy, University of Catania, Italy. Dr. Angilella gained an MSc in Physics from the University of Catania in 1994, and went on to complete his PhD there in 1999. In 2003 he received an award from the European High Pressure Research Group (EHPRG). He has subsequently served as Secretary and later as Chairman of EHRPG, and as a member of the Executive Committee and Secretary for the International Association for Research and Technology at High Pressure (AIRAPT). His research interests include unconventional superconductivity, high pressure physics, and graphene. He is the author of more than 100 articles in peer-reviewed journals and four books, and has acted as a reviewer for more than 70 articles published in American Physical Society journals as well as for numerous articles in other leading journals. He is editor, with N.H. March, of the international scientific journal Physics and Chemistry of Liquids (Taylor & Francis). C. Amovilli is Associate Professor in Physical Chemistry at the Department of Chemistry and Industrial Chemistry, University of Pisa, Italy. Dr. Amovilli gained an MSc in Chemistry at the University of Pisa and Scuola Normale Superiore, Pisa, in 1984 and went on to obtain a PhD in Chemistry from the Scuola Normale Superiore, Pisa in 1987. He has subsequently been a research fellow or visiting scientist at several international research institutions and universities, including the University of Oxford, the University of Antwerp, ICTP (Trieste), and the Lorentz Institute for Theoretical Physics (University of Leiden). His research activities include the theoretical study of intermolecular forces, analytical developments within the application of density functional theory to model systems, multiconfigurational calculations in the context of valence bond and molecular orbital theories, and calculations on boron and carbon clusters. He is the author of more than 100 research articles and chapters in specialized books.

Contenu
Part I Condensed matter theory.- 1 Correlations in the superconducting properties of several material Classes.- 2 Viscous electron liquids in encapsulated grapheme.- 3 Computer simulations of the structure of nanoporous carbons and higher density phases of carbon.- 4 On Dirac points in the Harper model.- 5 Theory of Mott localization in silicone.- 6 Molecular ordering in covalent lattices.- 7 An ab initio evaluation of Mott properties.- 8 Wavefunctions for large electron numbers: the Exponential Wall problem.- 9 Electron tunneling excitation of a coupled two impurity system.- 10 Quantifying the effect of point and line defect densities on the melting temperature in the transition metals.- 11 Application of the plane-wave-based perturbation theory to the density modulation induced by a point charge in an electron gas.- 11.1 Introduction.- 12 An overview of concepts in liquid state physics.- 13 Structure of water in dilute ionic solutions.- 14 Atomic spectra calculations using a solvable model potential for fusion plasma engineering.- 15 Solar cell efficiency: the Shockley-Queisser limit revisited.- Part II Theoretical chemistry.- 16 Shannon entropy and correlation energy for electrons in atoms.- 17 On combinatoric identities for electron-pair wavefunctions.- 18 From molecules and clusters of atoms to solid state properties.- 19 Alchemical derivatives of atoms: a walk through the periodic table.- 20 Title to be announced.- 21 Orbital-free density functional theory: Pauli potential and density scaling.- 22 The role of the N-representability in one-particle functional theories.- 23 Title to be announced.- Part III Theoretical physics.- 24 Energy density functional theory in atomic and nuclear physics.- 25 Second order exchange energy of a d-dimensional electron fluid.- 26 Nonlocal quantum kinetic theory and the formation of correlations.- 27 Numerical evidence of Sinai-like diffusion of random-mass Dirac-Klein particles.- 28 Topological effects and critical phenomena in the three-dimensional (3D) Ising model.- 29 Do symmetry-breaking transitions in photosynthetic light harvesting complexes form a Kibble-Zurek Model (KZM) topological defect?.- 30 The universe as a quantum many-body system.- Author index.- Keyword index.