Algebraic And Diagrammatic Methods In Many Fermion Theory

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Algebraic And Diagrammatic Methods In Many Fermion Theory

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Author : Frank E. Harris
language : en
Publisher: Courier Dover Publications
Release Date : 2020-01-15

Algebraic And Diagrammatic Methods In Many Fermion Theory written by Frank E. Harris and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with Psychology categories.

This text on the use of electron correlation effects in the description of the electronic structure of atoms, molecules, and crystals is intended for graduate students in physical chemistry and physics. Modern theories of electronic structure and methods of incorporating electron correlation contributions are developed using a diagrammatic and algebraic formulation, and the methods developed in the text are illustrated with examples from molecular and solid state quantum mechanics. A brief Introduction is followed by chapters on operator algebra, the independent-particle model, occupation-number formalism, and diagrams. Additional topics include the configuration-interaction method, the many-body perturbation theory, and the coupled-cluster method.

Brillouin Wigner Methods For Many Body Systems

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Author : Stephen Wilson
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-01

Brillouin Wigner Methods For Many Body Systems written by Stephen Wilson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with Science categories.

Brillouin-Wigner Methods for Many-Body Systems gives an introduction to many-body methods in electronic structure theory for the graduate student and post-doctoral researcher. It provides researchers in many-body physics and theoretical chemistry with an account of Brillouin-Wigner methodology as it has been developed in recent years to handle the multireference correlation problem. Moreover, the frontiers of this research field are defined. This volume is of interest to atomic and molecular physicists, physical chemists and chemical physicists, quantum chemists and condensed matter theorists, computational chemists and applied mathematicians.

Springer Handbook Of Atomic Molecular And Optical Physics

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Author : Gordon W. F. Drake
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-05

Springer Handbook Of Atomic Molecular And Optical Physics written by Gordon W. F. Drake and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-05 with Science categories.

Comprises a comprehensive reference source that unifies the entire fields of atomic molecular and optical (AMO) physics, assembling the principal ideas, techniques and results of the field. 92 chapters written by about 120 authors present the principal ideas, techniques and results of the field, together with a guide to the primary research literature (carefully edited to ensure a uniform coverage and style, with extensive cross-references). Along with a summary of key ideas, techniques, and results, many chapters offer diagrams of apparatus, graphs, and tables of data. From atomic spectroscopy to applications in comets, one finds contributions from over 100 authors, all leaders in their respective disciplines. Substantially updated and expanded since the original 1996 edition, it now contains several entirely new chapters covering current areas of great research interest that barely existed in 1996, such as Bose-Einstein condensation, quantum information, and cosmological variations of the fundamental constants. A fully-searchable CD- ROM version of the contents accompanies the handbook.

Many Body Methods For Atoms And Molecules

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Author : Rajat Kumar Chaudhuri
language : en
Publisher: CRC Press
Release Date : 2017-02-17

Many Body Methods For Atoms And Molecules written by Rajat Kumar Chaudhuri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-17 with Science categories.

Brings Readers from the Threshold to the Frontier of Modern Research Many-Body Methods for Atoms and Molecules addresses two major classes of theories of electron correlation: the many-body perturbation theory and coupled cluster methods. It discusses the issues related to the formal development and consequent numerical implementation of the methods from the standpoint of a practicing theoretician. The book will enable readers to understand the future development of state-of-the-art multi-reference coupled cluster methods as well as their perturbative counterparts. The book begins with an introduction to the issues relevant to the development of correlated methods in general. It next gives a formally rigorous treatment of aspects that pave the foundation toward the theoretical development of methods capable of tackling problems of electronic correlation. The authors go on to cover perturbation theory first in a fundamental way and then in the multi-reference context. They also describe the idea of state-specific theories, Fock space-based multi-reference coupled cluster methods, and basic issues of the single-reference coupled cluster method. The book concludes with state-of-the-art methods of modern electronic structure.

Computational And Group Theoretical Methods In Nuclear Physics

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Author : J. P. Draayer
language : en
Publisher: World Scientific
Release Date : 2004

Computational And Group Theoretical Methods In Nuclear Physics written by J. P. Draayer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.

The symposium OC Computational and Group-Theoretical Methods in Nuclear PhysicsOCO was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Novel Electronic Structure Theory General Innovations And Strongly Correlated Systems

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Author :
language : en
Publisher: Academic Press
Release Date : 2018-01-03

Novel Electronic Structure Theory General Innovations And Strongly Correlated Systems written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-03 with Science categories.

Novel Electronic Structure Theory: General Innovations and Strongly Correlated Systems, Volume 76, the latest release in the Advances in Quantum Chemistry series presents work and reviews of current work in quantum chemistry (molecules), but also includes scattering from atoms and solid state work of interest in physics. Topics covered in this release include the Present Status of Selected Configuration Interaction with Truncation Energy Error, Recent Developments in Asymptotic Expansions from Numerical Analysis and Approximation Theory, The kinetic energy Pauli enhancement factor and its role in determining the shell structure of atoms and molecules, Numerical Hartree-Fock and Many-Body Calculations for Diatomic Molecules, and more. - Provides reports on current work in molecular and atomic quantum mechanics - Contains work reported by many of the best scientists in the field - Presents the latest release in the Advances in Quantum Chemistry series

Recent Advances In Coupled Cluster Methods

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Author : Rodney J. Bartlett
language : en
Publisher: World Scientific
Release Date : 1997

Recent Advances In Coupled Cluster Methods written by Rodney J. Bartlett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.

Today, coupled-cluster (CC) theory has emerged as the most accurate, widely applicable approach for the correlation problem in molecules. Furthermore, the correct scaling of the energy and wavefunction with size (i.e. extensivity) recommends it for studies of polymers and crystals as well as molecules. CC methods have also paid dividends for nuclei, and for certain strongly correlated systems of interest in field theory.In order for CC methods to have achieved this distinction, it has been necessary to formulate new, theoretical approaches for the treatment of a variety of essential quantities. These include properties and, particularly, analytical first derivatives (gradients) that readily provide the forces on the atoms in a molecule to facilitate searching potential energy surfaces for structures and transition states; second derivatives (Hessians) which indicate the type of extremum point and provide vibrational frequencies and intensities; excited, ionized, and electron attached states including their properties; multi-configurational reference functions to add important non-dynamic correlation; and relativistic effects.This book addresses very recent work in each of the above topics in ten chapters written by leading experts in molecular CC theory. This is NOT a collection of reviews, but is, instead, forefront research explained in an unusually clear exposition. Each chapter presents new results and formulations that offer another step toward providing the next generation of powerful CC solutions.The gap that often exists between text books and research can be more of a chasm in highly technical fields like CC theory, but this volume helps to fill the void, as it provides a sequel to a graduate level course in CC theory and many-electron methods. Essentially all current directions for new research are well represented in the authoritative articles.

Theoretical Chemistry And Physics Of Heavy And Superheavy Elements

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Author : U. Kaldor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Theoretical Chemistry And Physics Of Heavy And Superheavy Elements written by U. Kaldor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

Quantum mechanics provides the fundamental theoretical apparatus for describing the structure and properties of atoms and molecules in terms of the behaviour of their fundamental components, electrons and nudeL For heavy atoms and molecules containing them, the electrons can move at speeds which represent a substantial fraction of the speed of light, and thus relativity must be taken into account. Relativistic quantum mechanics therefore provides the basic formalism for calculating the properties of heavy-atom systems. The purpose of this book is to provide a detailed description of the application of relativistic quantum mechanics to the many-body prob lem in the theoretical chemistry and physics of heavy and superheavy elements. Recent years have witnessed a continued and growing interest in relativistic quantum chemical methods and the associated computa tional algorithms which facilitate their application. This interest is fu elled by the need to develop robust, yet efficient theoretical approaches, together with efficient algorithms, which can be applied to atoms in the lower part of the Periodic Table and, more particularly, molecules and molecular entities containing such atoms. Such relativistic theories and computational algorithms are an essential ingredient for the description of heavy element chemistry, becoming even more important in the case of superheavy elements. They are destined to become an indispensable tool in the quantum chemist's armoury. Indeed, since relativity influences the structure of every atom in the Periodic Table, relativistic molecular structure methods may replace in many applications the non-relativistic techniques widely used in contemporary research.

Advances In Chemical Physics Volume 110

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Author : Ilya Prigogine
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-09

Advances In Chemical Physics Volume 110 written by Ilya Prigogine and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-09 with Science categories.

This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. Volume 110 continues to report recent advances with important, up-to-date chapters contributed by internationally recognized researchers.

Non Covalent Interactions In Quantum Chemistry And Physics

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Author : Alberto Otero de la Roza
language : en
Publisher: Elsevier
Release Date : 2017-06-15

Non Covalent Interactions In Quantum Chemistry And Physics written by Alberto Otero de la Roza and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-15 with Science categories.

Non-covalent Interactions in Quantum Chemistry and Physics: Theory and Applications provides an entry point for newcomers and a standard reference for researchers publishing in the area of non-covalent interactions. Written by the leading experts in this field, the book enables experienced researchers to keep up with the most recent developments, emerging methods, and relevant applications. The book gives a comprehensive, in-depth overview of the available quantum-chemistry methods for intermolecular interactions and details the most relevant fields of application for those techniques. Theory and applications are put side-by-side, which allows the reader to gauge the strengths and weaknesses of different computational techniques. - Summarizes the state-of-the-art in the computational intermolecular interactions field in a comprehensive work - Introduces students and researchers from related fields to the topic of computational non-covalent interactions, providing a single unified source of information - Presents the theoretical foundations of current quantum mechanical methods alongside a collection of examples on how they can be applied to solve practical problems