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Author : Viktor N. Staroverov
Publisher :
ISBN 13 :
Total Pages : 554 pages
Book Rating : 4.3/5 ( download)
Download or read book Molecular Properties from Reduced Density Matrices written by Viktor N. Staroverov and published by . This book was released on 2001 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernest Davidson
Publisher : Elsevier
ISBN 13 : 0323161022
Total Pages : 144 pages
Book Rating : 4.3/5 (231 download)
Download or read book Reduced Density Matrices in Quantum Chemistry written by Ernest Davidson and published by Elsevier. This book was released on 2012-12-02 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reduced Density Matrices in Quantum Chemistry is from a special topics course of the author to graduate students at the Ohio State University. The focus of the book is on the structure of the density matrix as reference to the electronic structure of atoms and molecules. Chapters 1 and 2 discuss and differentiate in detail the ensemble density matrix and reduced density matrices. Ensemble density matrix is discussed in the context of different states, while the energy expressions of reduced density matrices are highlighted together with some examples. Chapter 3 accordingly follows through with a description of the properties of reduced density matrices. The succeeding chapters focus on the first-order and second-order reduced density matrices in terms of their analytic and physical properties. The final chapter discusses and interprets the two-body density matrix. The book is intended for graduate students and researchers in the study of quantum chemistry.
Author : David A. Mazziotti
Publisher : John Wiley & Sons
ISBN 13 : 047010659X
Total Pages : 300 pages
Book Rating : 4.4/5 (71 download)
Download or read book Reduced-Density-Matrix Mechanics written by David A. Mazziotti and published by John Wiley & Sons. This book was released on 2007-04-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of this cutting-edge research in a consistent and understandable framework, of special interest to experts in other areas of electronic structure and/or quantum many-body theory. It will serve equally well as a self-contained guide to learning about reduced density matrices either through self-study or in a classroom as well as an invaluable resource for understanding the critical advancements in the field.
Author : A.J. Coleman
Publisher : Springer Science & Business Media
ISBN 13 : 9783540671480
Total Pages : 300 pages
Book Rating : 4.6/5 (714 download)
Download or read book Reduced Density Matrices written by A.J. Coleman and published by Springer Science & Business Media. This book was released on 2000-04-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors demonstrate that the essential information about order in, and energy levels of physical systems is encapsulated in the second order reduced density matrix. They have discovered an algorithm to obtain a reasonable accurate expression for the 2-matrix of an N-particle state to make nearly all properties of matter which are of interest to chemists and physicists accessible.
Author : Jerzy Cioslowski
Publisher : Springer Science & Business Media
ISBN 13 : 1461542111
Total Pages : 311 pages
Book Rating : 4.4/5 (615 download)
Download or read book Many-Electron Densities and Reduced Density Matrices written by Jerzy Cioslowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science advances by leaps and bounds rather than linearly in time. I t is not uncommon for a new concept or approach to generate a lot of initial interest, only to enter a quiet period of years or decades and then suddenly reemerge as the focus of new exciting investigations. This is certainly the case of the reduced density matrices (a k a N-matrices or RDMs), whose promise of a great simplification of quantum-chemical approaches faded away when the prospects of formulating the auxil iary yet essential N-representability conditions turned quite bleak. How ever, even during the period that followed this initial disappointment, the 2-matrices and their one-particle counterparts have been ubiquitous in the formalisms of modern electronic structure theory, entering the correlated-level expressions for the first-order response properties, giv ing rise to natural spinorbitals employed in the configuration interaction method and in rigorous analysis of electronic wavefunctions, and al lowing direct calculations of ionization potentials through the extended Koopmans'theorem. The recent research of Nakatsuji, Valdemoro, and Mazziotti her alds a renaissance of the concept of RDlvls that promotes them from the role of interpretive tools and auxiliary quantities to that of central variables of new electron correlation formalisms. Thanks to the economy of information offered by RDMs, these formalisms surpass the conven tional approaches in conciseness and elegance of formulation. As such, they hold the promise of opening an entirely new chapter of quantum chemistry.
Author : N.I. Gidopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 9401704090
Total Pages : 233 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Fundamentals of Electron Density, Density Matrix and Density Functional Theory in Atoms, Molecules and the Solid State written by N.I. Gidopoulos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records the proceedings of a Forum on The Fundamentals of Electron Density, Density Matrix and Density Functional Theory in Atoms, Molecules and the Solid State held at the Coseners' House, Abingdon-on-Thames, Oxon. over the period 31st May - 2nd June, 2002. The forum consisted of 26 oral and poster presentations followed by a discussion structure around questions and comments submitted by the participants (and others who had expressed an interest) in advance of the meeting. Quantum mechanics provides a theoretical foundation for our under standing of the structure and properties of atoms, molecules and the solid state in terms their component particles, electrons and nuclei. (Rel ativistic quantum mechanics is required for molecular systems contain ing heavy atoms.) However, the solution of the equations of quantum mechanics yields a function, a wave function, which depends on the co ordinates, both space and spin, of all of the particles in the system. This functions contains much more information than is required to yield the energy or other property.
Author : Karl Blum
Publisher : Springer Science & Business Media
ISBN 13 : 3642205615
Total Pages : 359 pages
Book Rating : 4.6/5 (422 download)
Download or read book Density Matrix Theory and Applications written by Karl Blum and published by Springer Science & Business Media. This book was released on 2012-01-13 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to construct general formulas and proofs of general theorems. The basic concepts and quantum mechanical fundamentals (reduced density matrices, entanglement, quantum correlations) are discussed in a comprehensive way. The discussion leads up to applications like coherence and orientation effects in atoms and molecules, decoherence and relaxation processes. This third edition has been updated and extended throughout and contains a completely new chapter exploring nonseparability and entanglement in two-particle spin-1/2 systems. The text discusses recent studies in atomic and molecular reactions. A new chapter explores nonseparability and entanglement in two-particle spin-1/2 systems.
Author : Ernest Roy Davidson
Publisher :
ISBN 13 : 9780124337732
Total Pages : 0 pages
Book Rating : 4.3/5 (377 download)
Download or read book Reduced Density Matrices in Quantum Chemistry written by Ernest Roy Davidson and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.M. Erdahl
Publisher : Springer Science & Business Media
ISBN 13 : 9400938551
Total Pages : 718 pages
Book Rating : 4.4/5 (9 download)
Download or read book Density Matrices and Density Functionals written by R.M. Erdahl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE COLEMAN SYMPOSIUM This collection of papers is dedicated to Albert John Coleman for his enthusiastic devotion to teaching and research and his many scientific accomplishments. John was born in Toronto on May 20, 1918 and 21 years later graduated from the University of Toronto in mathematics. Along the way he teamed up with Irving Kaplansky and Nathan Mendelson to win the first William Lowell Putnam Mathematical Competition in 1938. He earned his M.A. at Princeton in 1942 and then his Ph.D. at Toronto in 1943 in relativistic quantum mechanics under the direction of Leopold Infeld. During this period he was secretary of the Student Christian Movement in Toronto. Later, in 1945, he became traveling secretary of the World's Student Christian Federation in Geneva and in this capacity visited some 100 universities in 20 countries in the next four years. He spent the 50's as a member of the faculty at the University of Toronto and for 20 years, starting in 1960, he served as Dupuis Professor of Mathematics and Head of the Department at Queen's University. Since 1983 he has been Professor Emeritus at Queen's.
Author : Ernest R. Davidson
Publisher :
ISBN 13 : 9780122058509
Total Pages : 135 pages
Book Rating : 4.0/5 (585 download)
Download or read book Reduced Density Matrices in Quantum Chemistry written by Ernest R. Davidson and published by . This book was released on 1976-01-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.J. Grout
Publisher : Springer Science & Business Media
ISBN 13 : 1402087071
Total Pages : 586 pages
Book Rating : 4.4/5 (2 download)
Download or read book Frontiers in Quantum Systems in Chemistry and Physics written by P.J. Grout and published by Springer Science & Business Media. This book was released on 2008-09-12 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we have collected some of the contributions made to the Twelfth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-XII) in 2007. The workshop was held at Royal Holloway College, the most westerly campusof the University of London,and situated just a stone’s throw from Windsor Great Park. The workshop, which ran from 30 August to 5 September, continued the series that was established by Roy McWeeny in April 1996 with a meeting held at San Miniato, near Pisa. The purpose of the QSCP workshops is to bring together, in an informal atmosphere and with the aim of fostering collaboration, those chemists and physicists who share a common ?eld of interest in the theory of the quantum many-body problem. Quantum mechanics provides a theoretical foundation for our understandingof the structure,propertiesanddynamicsof atoms, moleculesandthe solid state, in terms of their component particles: electrons and nuclei. The study of ‘Quantum Systems in Chemistry and Physics’ therefore underpins many of the emerging?elds in twenty-?rstcenturyscience andtechnology:nanostructure,smart materials, drug design – to name but a few. Members of the workshop were keen to discuss their research and engage in collaboration centred upon the development of fundamental and innovative theory which would lead to the exploration of new concepts. The proceedings of all of the workshops, which have been held annually since 1996, have been published both to disseminate the latest developments within the wider community and to stimulate further collaboration.
Author : Pierre Becker
Publisher : Springer Science & Business Media
ISBN 13 : 1468410180
Total Pages : 885 pages
Book Rating : 4.4/5 (684 download)
Download or read book Electron and Magnetization Densities in Molecules and Crystals written by Pierre Becker and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest of describing the ground state properties of a system in terms of one electron density (or its two spin components) is obvious, in particular due to the simple physical significance of this function. Recent experimental progress in diffraction made the measurement of charge and magnetization densities in crystalline solids possible, with an accuracy at least as good as theoretical accuracy. Theoretical developments of the many-body problem have proved the extreme importance of the one electron density function and presently, accurate methods of band structure determination become available. Parallel to the diffraction techniques, other domains of research (inelastic scattering, resonance, molecular spectroscopy) deal with quantities directly related to the one particle density. But the two types of studies do not interfere enough and one should obviously gain more information by interpreting all experiments that are related to the density together. It became necessary to have an International School that reviews the status of the art in the domain of "ELECTRON AND MAGNETIZATION DENSITIES IN MOLECULES AND CRYSTALS". This was made possible through the generous effort of N.A.T.O. 's Scientific Affairs Division, and I would specially thank Dr. T. KESTER, the head of this Division, for his help and competence. An Advanced Study Institute was thus held in ARLES, south France, from the 16th to the 31st of August 1978.
Author : Poul Jørgensen
Publisher : Springer Science & Business Media
ISBN 13 : 9400945841
Total Pages : 337 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometrical Derivatives of Energy Surfaces and Molecular Properties written by Poul Jørgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and computational implementation of analytical expres sions for the low-order derivatives of electronic energy surfaces and other molecular properties has undergone rapid growth in recent years. It is now fairly routine for chemists to make use of energy gradient information in locating and identifying stable geometries and transition states. The use of second analytical derivative (Hessian or curvature) expressions is not yet routine, and third and higher energy derivatives as well as property (e.g., dipole moment, polarizability) derivatives are just beginning to be applied to chemical problems. This NATO Advanced Research Workshop focused on analyzing the re lative merits of various strategies for deriving the requisite analyti cal expressions, for computing necessary integral derivatives and wave function parameter derivatives, and for efficiently coding these expres sions on conventional scalar machines and vector-oriented computers. The participant list contained many scientists who have been instrumen tal in bringing this field to fruition as well as eminent scientists who have broad knowledge and experience in quantum chemistry in general.
Author :
Publisher : Academic Press
ISBN 13 : 0080582397
Total Pages : 262 pages
Book Rating : 4.0/5 (85 download)
Download or read book Advances in Quantum Chemistry written by and published by Academic Press. This book was released on 1982-03-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry
Author : David A. Mazziotti
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (744 download)
Download or read book Advances in Chemical Physics, Reduced-Density-Matrix Mechanics written by David A. Mazziotti and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of this cutting-edge research in a consistent and understandable framework, of special interest to experts in other areas of electronic structure and/or quantum many-body theory. It will serve equally well as a self-contained guide t.
Author : Chérif Matta
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110565714
Total Pages : 265 pages
Book Rating : 4.1/5 (15 download)
Download or read book Quantum Crystallography written by Chérif Matta and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-09-05 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum crystallography (QCr) is a novel scientific discipline combining quantum chemistry methods and crystal structure determination. Written by leading experts in the field, this book describes original quantum-mechanical approaches to obtain crystallographic data of enhanced value and explains how they correlate with real diffraction and scattering experiments. In particular, the book covers quantum N-representability, Clinton equations, kernel energy method (KEM), and quantum theory of atoms in molecules (QTAIM) methods and their applications in crystallographic studies. Readers will be interested in the Foreword written by Nobel Laureate Ada Yonath and the Epilogue by noted science philosopher Olimpia Lombardi.
Author : Petr Cársky
Publisher : Springer Science & Business Media
ISBN 13 : 9048128854
Total Pages : 672 pages
Book Rating : 4.0/5 (481 download)
Download or read book Recent Progress in Coupled Cluster Methods written by Petr Cársky and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: I feel very honored that I have been asked to write a Foreword to this book. The subject of the book – “Coupled cluster theory” – has been around for about half a century. The basic theory and explicit equations for closed-shell ground states were formulated before 1970. At the beginning of the seventies the rst ab initio calcu- tion were carried out. At that time speed and memory of computers were very limited compared to today’s standards. Moreover, the size of one-electron bases employed was small, so that it was only possible to achieve an orientation in methodical aspects rather than to generate new signi cant results. Extensive use of the coupled-cluster method started at the beginning of the eighties. With the help of more powerful computers the results of coupled-cluster approaches started to yield more and more interesting results of relevance to the interpretation of experimental data. New ideas in methodology kept appearing and computer codes became more and more ef cient. This exciting situation continues to this very day. Remarkably enough, even the - quired equations can now be generated by a computer with the help of symbolic languages. The size of this monograph and the rich variety of articles it contains attests to the usefulness and viability of the couple-cluster formalism for the h- dling of many-electron correlation effects. This represents a vivid testimony of a tremendous work that has been accomplished in coupled-cluster methodology and its exploitation.
