Second Quantized Approach to Quantum Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642747558
Total Pages : 197 pages
Book Rating : 4.6/5 (427 download)

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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.

Second Quantization-Based Methods in Quantum Chemistry

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Publisher : Elsevier
ISBN 13 : 0323141099
Total Pages : 184 pages
Book Rating : 4.3/5 (231 download)

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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 184 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.

Quantum Chemistry in Biomedical Sciences

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Publisher :
ISBN 13 : 9780123902207
Total Pages : 552 pages
Book Rating : 4.9/5 (22 download)

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Book Synopsis Quantum Chemistry in Biomedical Sciences by : Harel Weinstein

Download or read book Quantum Chemistry in Biomedical Sciences written by Harel Weinstein and published by . This book was released on 1981 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Quantum Chemistry

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Publisher : Courier Corporation
ISBN 13 : 0486134598
Total Pages : 480 pages
Book Rating : 4.4/5 (861 download)

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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 480 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.

Many-Body Quantum Theory in Condensed Matter Physics

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Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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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.

Condensed Matter Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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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.

Second Quantization and Atomic Spectroscopy

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Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Second Quantization and Atomic Spectroscopy by : Brian R. Judd

Download or read book Second Quantization and Atomic Spectroscopy written by Brian R. Judd and published by . This book was released on 1967 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Information and Computation for Chemistry, Volume 154

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Publisher : John Wiley & Sons
ISBN 13 : 1118742605
Total Pages : 522 pages
Book Rating : 4.1/5 (187 download)

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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.

The Method of Second Quantization

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Method of Second Quantization by : Feliks Aleksandrovich Berezin

Download or read book The Method of Second Quantization written by Feliks Aleksandrovich Berezin and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simple Theorems, Proofs, and Derivations in Quantum Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475765193
Total Pages : 341 pages
Book Rating : 4.4/5 (757 download)

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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.

Molecular Quantum Mechanics

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Publisher : Oxford University Press
ISBN 13 : 0199541426
Total Pages : 552 pages
Book Rating : 4.1/5 (995 download)

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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.

Introduction to Relativistic Quantum Chemistry

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Publisher : Oxford University Press
ISBN 13 : 0190286377
Total Pages : 544 pages
Book Rating : 4.1/5 (92 download)

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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.

Advances in Quantum Chemistry

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Publisher : Elsevier
ISBN 13 : 0443186669
Total Pages : 342 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Advances in Quantum Chemistry by :

Download or read book Advances in Quantum Chemistry written by and published by Elsevier. This book was released on 2022-11-03 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry, Volume 86 highlights new advances in the field, with this new volume presenting topics covering Can orbital basis sets compete with explicitly correlated ones for few-electron systems?, Converging high-level equation-of-motion coupled-cluster energetics with the help of Monte Carlo and selected configuration interaction, Coupled cluster downfolding techniques: a review of existing applications in classical and quantum computing for chemical systems, Multi-reference methods for the description of dynamic and nondynamic electron correlation effects in atoms and molecules, Exploring the attosecond laser-driven electron dynamics in the hydrogen molecule with different TD-CI approaches, and much more. Additional sections cover Molecular systems in spatial confinement: variation of linear and nonlinear electrical response of molecules in the bond dissociation processes, Relativistic Infinite-order two-component methods for heavy elements, Second quantized approach to exchange energy revised – beyond the S^2 approximation, Calculating atomic states without the Born-Oppenheimer approximation, Convergence of the Correlated Optimized Effective Potential Method, and more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in Advances in Quantum Chemistry serials Updated release includes the latest information on this timely topic

Fundamentals of Quantum Mechanics

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Publisher : Academic Press
ISBN 13 : 0128092556
Total Pages : 372 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fundamentals of Quantum Mechanics by : J. E. House

Download or read book Fundamentals of Quantum Mechanics written by J. E. House and published by Academic Press. This book was released on 2017-04-19 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Quantum Mechanics, Third Edition is a clear and detailed introduction to quantum mechanics and its applications in chemistry and physics. All required math is clearly explained, including intermediate steps in derivations, and concise review of the math is included in the text at appropriate points. Most of the elementary quantum mechanical models—including particles in boxes, rigid rotor, harmonic oscillator, barrier penetration, hydrogen atom—are clearly and completely presented. Applications of these models to selected “real world topics are also included. This new edition includes many new topics such as band theory and heat capacity of solids, spectroscopy of molecules and complexes (including applications to ligand field theory), and small molecules of astrophysical interest. Accessible style and colorful illustrations make the content appropriate for professional researchers and students alike Presents results of quantum mechanical calculations that can be performed with readily available software Provides exceptionally clear discussions of spin-orbit coupling and group theory, and comprehensive coverage of barrier penetration (quantum mechanical tunneling) that touches upon hot topics, such as superconductivity and scanning tunneling microscopy Problems given at the end of each chapter help students to master concepts

Propagators in Quantum Chemistry

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Propagators in Quantum Chemistry by : Jan Linderberg

Download or read book Propagators in Quantum Chemistry written by Jan Linderberg and published by . This book was released on 1973 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and bibliography after each chapter

Theoretical and Computational Chemistry

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Publisher : Publicacions de la Universitat Jaume I
ISBN 13 : 8480216158
Total Pages : 456 pages
Book Rating : 4.4/5 (82 download)

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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

Molecular Electronic-Structure Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1119019559
Total Pages : 949 pages
Book Rating : 4.1/5 (19 download)

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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.