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Second Quantized Approach To Quantum Chemistry
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Book Synopsis Second Quantized Approach to Quantum Chemistry by : Peter R. Surjan
Download or read book Second Quantized Approach to Quantum Chemistry written by Peter R. Surjan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a simple, short, and elementary introduction to the second quantized formalism as applied to a many-electron system. It is intended for those, mainly chemists, who are familiar with traditional quantum chemistry but have not yet become acquainted with second quantization. The treatment is, in part, based on a series of seminars held by the author on the subject. It has been realized that many quantum chemists either interested in theory or in applications, being educated as chemi~ts and not as physicists, have never devoted themselves to taking a course on the second quantized approach. Most available textbooks on this topic are not very easy to follow for those who are not trained in theory, or they are not detailed enough to offer a comprehensive treatment. At the same time there are several papers in quantum chemical literature which take advantage of using second quantization, and it would be worthwhile if those papers were accessible for a wider reading public. For this reason, it is intended in this survey to review the basic formalism of second quantization, and to treat some selected chapters of quantum chemistry in this language. Most derivations will be carried out in a detailed manner, so the reader need not accept gaps to understand the result.
Book Synopsis Second Quantization-Based Methods in Quantum Chemistry by : Poul Joergensen
Download or read book Second Quantization-Based Methods in Quantum Chemistry written by Poul Joergensen and published by Elsevier. This book was released on 2012-12-02 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Quantization-Based Methods in Quantum Chemistry presents several modern quantum chemical tools that are being applied to electronic states of atoms and molecules. Organized into six chapters, the book emphasizes the quantum chemical methods whose developments and implementations have been presented in the language of second quantization. The opening chapter of the book examines the representation of the electronic Hamiltonian, other quantum-mechanical operators, and state vectors in the second-quantization language. This chapter also describes the unitary transformations among orthonormal orbitals in an especially convenient manner. In subsequent chapters, various tools of second quantization are used to describe many approximation techniques, such as Hartree-Fock, perturbation theory, configuration interaction, multiconfigurational Hartree-Fock, cluster methods, and Green's function. This book is an invaluable source for researchers in quantum chemistry and for graduate-level students who have already taken introductory courses that cover the fundamentals of quantum mechanics through the Hartree-Fock method as applied to atoms and molecules.
Book Synopsis Modern Quantum Chemistry by : Attila Szabo
Download or read book Modern Quantum Chemistry written by Attila Szabo and published by Courier Corporation. This book was released on 2012-06-08 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.
Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus
Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Book Synopsis Quantum Information and Computation for Chemistry, Volume 154 by : Sabre Kais
Download or read book Quantum Information and Computation for Chemistry, Volume 154 written by Sabre Kais and published by John Wiley & Sons. This book was released on 2014-01-31 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the intersection of quantum information and chemical physics The Advances in Chemical Physics series is dedicated to reviewing new and emerging topics as well as the latest developments in traditional areas of study in the field of chemical physics. Each volume features detailed comprehensive analyses coupled with individual points of view that integrate the many disciplines of science that are needed for a full understanding of chemical physics. This volume of the series explores the latest research findings, applications, and new research paths from the quantum information science community. It examines topics in quantum computation and quantum information that are related to or intersect with key topics in chemical physics. The reviews address both what chemistry can contribute to quantum information and what quantum information can contribute to the study of chemical systems, surveying both theoretical and experimental quantum information research within the field of chemical physics. With contributions from an international team of leading experts, Volume 154 offers seventeen detailed reviews, including: Introduction to quantum information and computation for chemistry Quantum computing approach to non-relativistic and relativistic molecular energy calculations Quantum algorithms for continuous problems and their applications Photonic toolbox for quantum simulation Vibrational energy and information transfer through molecular chains Tensor networks for entanglement evolution Reviews published in Advances in Chemical Physics are typically longer than those published in journals, providing the space needed for readers to fully grasp the topic: the fundamentals as well as the latest discoveries, applications, and emerging avenues of research. Extensive cross-referencing enables readers to explore the primary research studies underlying each topic.
Book Synopsis Simple Theorems, Proofs, and Derivations in Quantum Chemistry by : Istvan Mayer
Download or read book Simple Theorems, Proofs, and Derivations in Quantum Chemistry written by Istvan Mayer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.
Book Synopsis Theoretical and Computational Chemistry by : Juan Andrés Bort
Download or read book Theoretical and Computational Chemistry written by Juan Andrés Bort and published by Publicacions de la Universitat Jaume I. This book was released on 2007-07 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Con esta obra se pretenden unificar los fundamentos, métodos y técnicas de la química teórica y computacional. Además, cabe comentar que la presente edición no sólo va dirigida a estudiantes de doctorado (a fin de proporcionarles un nivel adecuado para sus estudios), sino que la materia se trata de manera suficientemente detallada para que lectores no tan expertos puedan acceder a ella sin ninguna dificultad
Book Synopsis Condensed Matter Field Theory by : Alexander Altland
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Book Synopsis Molecular Electronic-Structure Theory by : Trygve Helgaker
Download or read book Molecular Electronic-Structure Theory written by Trygve Helgaker and published by John Wiley & Sons. This book was released on 2014-08-11 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.
Book Synopsis Computational Chemistry by : Jerzy Leszczynski
Download or read book Computational Chemistry written by Jerzy Leszczynski and published by World Scientific. This book was released on 2002 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: They include an overview of development and applications of parallel and order-N Density Functional Theory (DFT) methods and the development of new methods for calculation of electron dynamical correlation for large molecular systems. For small and medium-sized molecules, chemical accuracy of quantum chemical predictions has already been achieved in many fields of application. Among the most accurate methods are Coupled Cluster (CC) approaches, but their accuracy comes at a price - such methodologies are among the most computationally demanding. Two chapters review approximate strategies developed to include triple excitations within the coupled cluster and the performance of the explicitly correlated CC method based on the so-called R12 ansatz. The Quantum Molecular Dynamics (QMD) approach has revolutionized electronic structure calculations for molecular reactions.
Book Synopsis Introduction to Relativistic Quantum Chemistry by : Kenneth G. Dyall
Download or read book Introduction to Relativistic Quantum Chemistry written by Kenneth G. Dyall and published by Oxford University Press. This book was released on 2007-04-19 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.
Book Synopsis Computational Chemistry: Reviews Of Current Trends, Vol. 7 by : Jerzy Leszczynski
Download or read book Computational Chemistry: Reviews Of Current Trends, Vol. 7 written by Jerzy Leszczynski and published by World Scientific. This book was released on 2002-07-30 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vast progress in the area of computational chemistry has been achieved in the last decade of the 20th century. Theoretical methods such as quantum mechanics, molecular dynamics and statistical mechanics have been successfully used to characterize chemical systems and to design new materials, drugs and chemicals. With this in mind, the contributions to this volume were collected.The contributions include predictions of the transport properties of molecular structures at the atomic level, which is of importance in solving crucial technological problems such as electromigration or temperature and statistical effects.Although currently restricted to calculation of systems containing no more than a few thousand atoms, nonempirical (ab initio) quantum chemical methods are quickly gaining popularity among researchers investigating various aspects of biological systems. The development of efficient methods for application to large molecular systems is the focus of two chapters. They include an overview of development and applications of parallel and order-N Density Functional Theory (DFT) methods and the development of new methods for calculation of electron dynamical correlation for large molecular systems.For small and medium-sized molecules, chemical accuracy of quantum chemical predictions has already been achieved in many fields of application. Among the most accurate methods are Coupled Cluster (CC) approaches, but their accuracy comes at a price — such methodologies are among the most computationally demanding. Two chapters review approximate strategies developed to include triple excitations within the coupled cluster and the performance of the explicitly correlated CC method based on the so-called R12 ansatz.The Quantum Molecular Dynamics (QMD) approach has revolutionized electronic structure calculations for molecular reactions. The last chapter of the volume provides details of QMD studies on interconversion of nitronium ions and nitric acid in small water clusters.
Book Synopsis Quantum Nanochemistry, Volume Two by : Mihai V. Putz
Download or read book Quantum Nanochemistry, Volume Two written by Mihai V. Putz and published by CRC Press. This book was released on 2016-03-30 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of the 5-volume Quantum Nanochemistry presents in a balanced manner the fundamental and advanced concepts, principles, and models as well as their first and novel combinations and applications in quantum (physical) and chemical theory of atomic structure. It exposes the atom's perspective of quantum structures, spanning its diverse analyti
Book Synopsis Hybrid Methods of Molecular Modeling by : Andrei L. Tchougréeff
Download or read book Hybrid Methods of Molecular Modeling written by Andrei L. Tchougréeff and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained advanced review offering step by step derivation of the consistent theoretical picture of hybrid modeling methods and the thorough analysis of the concepts and current practical methods of hybrid modeling based on this theory. The book presents its material in a sequential way paying attention both to the physical soundness of the approximations used and to the mathematical rigor necessary for practical developing of the robust modeling code.
Book Synopsis Reduced-Density-Matrix Mechanics by : David A. Mazziotti
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.
Book Synopsis Orbital Symmetry and Reaction Mechanism by : E.Amitai Halevi
Download or read book Orbital Symmetry and Reaction Mechanism written by E.Amitai Halevi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Criteria of orbital symmetry conservation had a profound influence on mechanistic thinking in organic chemistry and are still commonly applied today. The author presents a coherent set of operational rules for the analysis of scope and reliability. It is written from the viewpoint of Orbital Correspondence Analysis in Maximum Symmetry (OCAMS). Its advantage lies in its provision of a coherent overview of the relation between symmetry and mechanism. For reasons of consistency, the book remains within the framework of molecular orbital theory.
Book Synopsis Molecular Quantum Mechanics by : Peter W. Atkins
Download or read book Molecular Quantum Mechanics written by Peter W. Atkins and published by Oxford University Press. This book was released on 2011 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text unravels those fundamental physical principles which explain how all matter behaves. It takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules.
