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Electronic Correlation Mapping

Author : Jamal Berakdar
Publisher : John Wiley & Sons
Page : 205 pages
File Size : 37,50 MB
Release : 2008-07-11
Category : Science
ISBN : 3527618538

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An up-to-date selection of applications of correlation spectroscopy, in particular as far as the mapping of properties of correlated many-body systems is concerned. The book starts with a qualitative analysis of the outcome of the two-particle correlation spectroscopy of localized and delocalized electronic systems as they occur in atoms and solids. The second chapter addresses how spin-dependent interactions can be imaged by means of correlation spectroscopy, both in spin-polarized and extended systems. A further chapter discusses possible pathways for the production of interacting two-particle continuum states. After presenting some established ways of quantifying electronic correlations and pointing out the relationship to correlation spectroscopy, the author addresses in a separate chapter the electron-electron interaction in extended systems, and illustrates the ideas by some applications to fullerenes and metal clusters. The last two chapters are devoted to the investigation of the potential of two-particle spectroscopy in studying ordered surfaces and disordered samples. Throughout the book the material is analyzed using rather qualitative arguments, and the results of more sophisticated theories serve the purpose of endorsing the suggested physical scenarios. The foundations of some of these theories have been presented in a corresponding volume entitled "Concepts of Highly Excited Electronic Systems" (3-527-40335-3).

I. Concepts of Highly Excited Electronic Systems / II. Electronic Correlation Mapping from Finite to Extended Systems

Author : Jamal Berakdar
Publisher : Wiley-VCH
Page : 0 pages
File Size : 32,95 MB
Release : 2006-03-31
Category : Science
ISBN : 9783527404124

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Knowledge of the excitation characteristics of matter is decisive for the descriptions of a variety of dynamical processes, which are of significant technological interest. E.g. transport properties and the optical response are controlled by the excitation spectrum. This self-contained work is a coherent presentation of the quantum theory of correlated few-particle excitations in electronic systems. It begins with a compact resume of the quantum mechanics of single particle excitations. Particular emphasis is put on Green function methods, which offer a natural tool to unravel the relations between the physics of small and large electronic systems. The book contains explicit expressions for the Coulomb Green function of two charge particles and a generalization to three-body systems. Techniques for the many-body Green function of finite systems are introduced and some explicit calculations of the Green functions are given. Concrete examples are provided and the theories are contrasted with experimental data, when available. A complimentary volume presents an up-to-date selection of applications of the developed concepts and a comparison with available experiments is made

I. Concepts of Highly Excited Electronic Systems / II. Electronic Correlation Mapping from Finite to Extended Systems

Author : Jamal Berakdar
Publisher : Wiley-VCH
Page : 0 pages
File Size : 30,43 MB
Release : 2006-03-31
Category : Science
ISBN : 9783527404124

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Knowledge of the excitation characteristics of matter is decisive for the descriptions of a variety of dynamical processes, which are of significant technological interest. E.g. transport properties and the optical response are controlled by the excitation spectrum. This self-contained work is a coherent presentation of the quantum theory of correlated few-particle excitations in electronic systems. It begins with a compact resume of the quantum mechanics of single particle excitations. Particular emphasis is put on Green function methods, which offer a natural tool to unravel the relations between the physics of small and large electronic systems. The book contains explicit expressions for the Coulomb Green function of two charge particles and a generalization to three-body systems. Techniques for the many-body Green function of finite systems are introduced and some explicit calculations of the Green functions are given. Concrete examples are provided and the theories are contrasted with experimental data, when available. A complimentary volume presents an up-to-date selection of applications of the developed concepts and a comparison with available experiments is made

Correlated Electrons In Quantum Matter

Author : Peter Fulde
Publisher : World Scientific
Page : 550 pages
File Size : 42,8 MB
Release : 2012-08-08
Category : Science
ISBN : 9814397229

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An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.

Relativistic and Electron Correlation Effects in Molecules and Solids

Author : G.L. Malli
Publisher : Springer Science & Business Media
Page : 478 pages
File Size : 28,98 MB
Release : 2013-11-21
Category : Science
ISBN : 1489913408

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The NATO Advanced Study Institute (ASI) on "R@lativistic and Electron Correlation Effects in Molecules and Solids", co-sponsored by Simon Fraser University (SFU) and the Natural Sciences and Engineering Research Council of Canada (NSERC) was held Aug 10- 21, 1992 at the University of British Columbia (UBC), Vancouver, Canada. A total of 90 lecturers and students with backgrounds in Chemistry, Physics, Mathematics and various interdisciplinary subjects attended the ASI. In my proposal submitted to NATO for financial support for this ASI, I pointed out that a NATO ASI on the effects of relativity in many-electron systems was held ten years ago, [See G.L. Malli, (ed) Relativistic Effects in Atoms, Molecules and Solids, Plenum Press, Vol B87, New York, 1983]. Moreover, at a NATO Advanced Research Workshop (ARW) on advanced methods for molecular electronic structure "an assessment of state-of the-art of Electron Correlation ... " was carried out [see C.E. Dykstra, (ed), Advanced Theories and Computational Approaches to the Electronic Structure of Molecules, D. Reidel Publishin~ Company, Vol C133, Dordrecht, The Netherlands 1984]. However, during the last five years, it has become clear that the relativistic and electron correlation effects must be included in the theoretical treatment of many-electron molecules and solids of heavy elements (with Z > 70). Molecules and clusters containing heavy elements are of crucial importance in a number of areas of Chemistry and Physics such as nuclear fuels, catalysis, surface science, etc.

Electron Correlations In The Solid State

Author : Norman H March
Publisher : World Scientific Publishing Company
Page : 452 pages
File Size : 44,88 MB
Release : 1999-12-13
Category : Science
ISBN : 1911298941

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This invaluable book deals with the many-electron theory of the solid state. Mastery of the material in it will equip the reader for research in areas such as high-temperature superconductors and the fractional quantum Hall effect. The whole book has been designed to provide the diligent reader with a wide variety of approaches to many-electron theory.The level of the book is suitable for research workers and higher-degree students in a number of disciplines, embracing theoretical physics, materials science and solid-state chemistry. It should be useful not only to theorists in these areas but also to experimental scientists who desire to orient their programmes to address outstanding questions raised by many-body theory.

Open Problems in Strongly Correlated Electron Systems

Author : Janez Bonca
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 26,65 MB
Release : 2012-12-06
Category : Science
ISBN : 9401007713

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Proceedings of the NATO Advanced Research Workshop, Bled, Slovenia, 26-30 April 2000

Image Correlation for Shape, Motion and Deformation Measurements

Author : Michael A. Sutton
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 45,58 MB
Release : 2009-04-21
Category : Science
ISBN : 038778747X

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Image Correlation for Shape, Motion and Deformation Measurements provides a comprehensive overview of data extraction through image analysis. Readers will find and in-depth look into various single- and multi-camera models (2D-DIC and 3D-DIC), two- and three-dimensional computer vision, and volumetric digital image correlation (VDIC). Fundamentals of accurate image matching are described, along with presentations of both new methods for quantitative error estimates in correlation-based motion measurements, and the effect of out-of-plane motion on 2D measurements. Thorough appendices offer descriptions of continuum mechanics formulations, methods for local surface strain estimation and non-linear optimization, as well as terminology in statistics and probability. With equal treatment of computer vision fundamentals and techniques for practical applications, this volume is both a reference for academic and industry-based researchers and engineers, as well as a valuable companion text for appropriate vision-based educational offerings.

Concepts in Electron Correlation

Author : Alex C. Hewson
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 15,28 MB
Release : 2003-09-30
Category : Science
ISBN : 9781402014192

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The concept of electron correlation is fundamental to condensed matter physics, playing an important role in systems including high temperature superconductors, heavy fermions, manganite compounds with colossal magnetoresistance, transition metal compounds with metal-insulator transitions, and mesoscopic systems like quantum dots and carbon nanotubes. The dialogue between experimentalists and theoreticians presented here is an assessment of our current understanding of the field; one that sets the agenda for future work.