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Theoretical Chemistry
Specialist Periodical Reports provide systematic and detailed review coverage of progress in the major areas of chemical research. Written by experts in their specialist fields the series creates a unique service for the active research chemist, supplying regular critical in-depth accounts of progress in particular areas of chemistry. For over 90 years The Royal Society of Chemistry and its predecessor, the Chemical Society, have been publishing reports charting developments in chemistry, which originally took the form of Annual Reports. However, by 1967 the whole spectrum of chemistry could no longer be contained within one volume and the series Specialist Periodical Reports was born. The A...
Electrons in Fluids
Colloque Weyl I was convened in June 1963 at the Catholic University of Lille to commemorate one hundred years of the study of metal-ammonia solutions. This memorable event, which involved a "single-particle excitation", inspired Gerard Lepoutre to assemble an international group of physicists and chemists to discuss the nature of metal-ammonia solutions. Colloque Weyl II, which took 1969, was initiated as a place at Cornell Universtiy, Ithaca, N.Y. in June "cooperative interaction" between M. J. Sienko, J. L. Dye, J. J. Lagowski, G. Lepoutre and J. C. Thompson. That meeting made it clear that Colloque Weyl should be continued in order to promote the fruitful exchange of ideas set in motion at Lille and at Cornell. Colloque Weyl III came into being as the result of a resolution passed at the Cornell meeting, Tel-Aviv University being the suggested site. The Organizing Committee consisted ofE. D. Bergmann, J. Jortner, J. J. Lagowski, G. Lepoutre, U. Schindewolf and M. J. Sienko, reflecting the international and interdisciplinary aspects of the field.
Methods in Computational Molecular Physics
This NATO Advanced Study Institute was concerned with modern ab initio methods for the determination of the electronic structure of molecules. Recent years have seen considerable progress in computer technology and computer science and these developments have had a very significant influence on computational molecular physics. Progress in computer technology has led to increasingly larger and faster systems as well as powerful minicomputers. Simultaneous research in computer science has explored new methods for the optimal use of these resources. To a large extent develop ments in computer technology, computer science and computational molecular physics have been mutually dependent. The avai...
Linking the Gaseous and Condensed Phases of Matter
The Advanced Study Institute (ASI) on "Linking the Gaseous and Condensed Phases of Matter: The Behavior of Slow Electrons" was held at Patras, Greece, September 5-18, 1993. The organizers of the Patras ASI felt that the study of the electronic properties of matter in various states of aggregation has advanced to a point where further progress required the interfacing of the phases of matter in order to find out and to understand how the microscopic and macroscopic properties of materials and processes change as we go from low pressure gas to the condensed phase. This approach is of foremost significance both from the point of view of basic research and of applications. Linking the electronic...
Analysis on Graphs and Its Applications
This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.
Methods of Spectral Analysis in Mathematical Physics
The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized: Spectral analysis of Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs.
Theoretical Methods for Strongly Correlated Electrons
Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type – i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions. Taken together, the contributions to this volume represent a comprehensive overview of current problems and developments.
New Theoretical Approaches to Strongly Correlated Systems
For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Complex Networks
This volume is devoted to the applications of techniques from statistical physics to the characterization and modeling of complex networks. The first two parts of the book concern theory and modeling of networks, the last two parts survey applications to a wide variety of natural and artificial networks. The tutorial reviews that form this book are aimed at students and newcomers to the field, and will also constitute a modern and comprehensive reference for experts. To this aim, all contributions have been carefully peer-reviewed not only for scientific content but also for self-consistency and readability.
