Propagators in Quantum Chemistry

Propagators in Quantum Chemistry

Author: Jan Linderberg

Publisher: John Wiley & Sons

Published: 2004-03-26

Total Pages: 282

ISBN-13: 9780471662570

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The only authoritative reference source on the propagator concept, now thoroughly revised and updated Much has changed in the study of quantum and theoretical chemistry since the publication of the first edition of Propagators in Quantum Chemistry. Advances in computer power and software packages now make it possible to calculate molecular structure, properties, spectra, and reactivity with greater predictive power. Chemical processes, especially under conditions not readily available in the laboratory, can also be much more easily studied via theory and computations. In this environment, the concept of propagators (or Green's functions) is emerging as an increasingly useful tool in the study of atomic and molecular processes. Propagators in Quantum Chemistry, Second Edition presents the theory and basic approximations of propagators in a unified manner as it provides: * A thorough introduction to propagators, and how they can be used to study atomic and molecular properties and spectra * Updated examples and technical details of the use of the propagator concept in various common approximate treatments * Problems that provide the opportunity to work out further details and applications of the theory Propagators, which are still gaining acceptance as tools in theoretical chemistry, have a long-demonstrated power and success in a number of areas including condensed matter physics. Propagators in Quantum Chemistry clearly describes the unprecedented utility and value of propagators, and explores how and why they are becoming increasingly important to scientists and researchers across the scientific spectrum.


Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition)

Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition)

Author: Willem Hendrik Dickhoff

Publisher: World Scientific Publishing Company

Published: 2008-05-02

Total Pages: 851

ISBN-13: 9813101318

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This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model.The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose-Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.


Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Author: S.M. Blinder

Publisher: Academic Press

Published: 2020-10-09

Total Pages: 436

ISBN-13: 0128223111

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Introduction to Quantum Mechanics, 2nd Edition provides an accessible, fully updated introduction to the principles of quantum mechanics. It outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of current scientific developments.Beginning with a solid introduction to the key principles underpinning quantum mechanics in Part 1, the book goes on to expand upon these in Part 2, where fundamental concepts such as molecular structure and chemical bonding are discussed. Finally, Part 3 discusses applications of this quantum theory across some newly developing applications, including chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing.Drawing on the extensive experience of its expert author, Introduction to Quantum Mechanics, 2nd Edition is a lucid introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for those varying degrees of background. - Presents a fully updated accounting that reflects the most recent developments in Quantum Theory and its applications - Includes new chapters on Special Functions, Density Functional Theory, Statistical Thermodynamics and Quantum Computers - Presents additional problems and exercises to further support learning


Many-Body Methods for Atoms, Molecules and Clusters

Many-Body Methods for Atoms, Molecules and Clusters

Author: Jochen Schirmer

Publisher: Springer

Published: 2018-11-02

Total Pages: 330

ISBN-13: 3319936026

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This book provides an introduction to many-body methods for applications in quantum chemistry. These methods, originating in field-theory, offer an alternative to conventional quantum-chemical approaches to the treatment of the many-electron problem in molecules. Starting with a general introduction to the atomic and molecular many-electron problem, the book then develops a stringent formalism of field-theoretical many-body theory, culminating in the diagrammatic perturbation expansions of many-body Green's functions or propagators in terms of Feynman diagrams. It also introduces and analyzes practical computational methods, such as the field-tested algebraic-diagrammatic construction (ADC) schemes. The ADC concept can also be established via a wave-function based procedure, referred to as intermediate state representation (ISR), which bridges the gap between propagator and wave-function formulations. Based on the current rapid increase in computer power and the development of efficient computational methods, quantum chemistry has emerged as a potent theoretical tool for treating ever-larger molecules and problems of chemical and physical interest. Offering an introduction to many-body methods, this book appeals to advanced students interested in an alternative approach to the many-electron problem in molecules, and is suitable for any courses dealing with computational methods in quantum chemistry.


Second Quantization-Based Methods in Quantum Chemistry

Second Quantization-Based Methods in Quantum Chemistry

Author: Poul Joergensen

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 185

ISBN-13: 0323141099

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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.


Many-Body Methods in Quantum Chemistry

Many-Body Methods in Quantum Chemistry

Author: Uzi Kaldor

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 354

ISBN-13: 3642934242

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The present volume contains the text of the invited lectures presented at the Symposium on Many Body Methods in Quantum Chemistry, held on the campus of Tel Aviv University in August 1988. The Symposium was a satellite meeting of the Sixth International Congress on Quantum Chemistry held in Jerusalem. The development and application of many-body methods in Quantum chemistry have been on the rise for a number of years. This is therefore a good time for an interim report on the state of the field. It is hoped that such a report is hereby provided, though it may not be complete. The Symposium was held under the auspices of Tel Aviv University, Raymond and Beverly Sackler Faculty of Exact Sciences, School of Chemistry. Other sponsors were the Israeli Academy of Sciences and Humanities, and the Israeli Ministry of Science and Development. Many thanks go to all of them. Finally, I would like to thank all the speakers and participants for making the meeting the enjoyable and (I hope) profitable experience it was. Tel Aviv, Israel Uzi Kaldor TESTS AND APPLICATIONS OF COMPLETE MODEL SPACE QUASIDEGENERATE MANY-BODY PERTURBATION THEORY FOR MOLECULES Karl F. Freed The James Franck Institute and Department of Chemistry The University of Chicago, Chicago, DUnois 60637 U.S.A.


Many-Body Quantum Theory in Condensed Matter Physics

Many-Body Quantum Theory in Condensed Matter Physics

Author: Henrik Bruus

Publisher: Oxford University Press

Published: 2004-09-02

Total Pages: 458

ISBN-13: 0198566336

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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.


Relativistic Quantum Mechanics and Field Theory

Relativistic Quantum Mechanics and Field Theory

Author: Franz Gross

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 643

ISBN-13: 3527617345

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An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.


Advances in Quantum Chemistry

Advances in Quantum Chemistry

Author:

Publisher: Academic Press

Published: 2011-06-21

Total Pages: 401

ISBN-13: 0123860148

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Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This series provides a one-stop resource for following progress in this interdisciplinary area. - Publishes articles, invited reviews and proceedings of major international conferences and workshops - Written by leading international researchers in quantum and theoretical chemistry - Highlights important interdisciplinary developments


Computational Strong-Field Quantum Dynamics

Computational Strong-Field Quantum Dynamics

Author: Dieter Bauer

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2017-04-24

Total Pages: 355

ISBN-13: 3110419343

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This graduate textbook introduces the com-putational techniques to study ultra-fast quantum dynamics of matter exposed to strong laser fields. Coverage includes methods to propagate wavefunctions according to the time dependent Schrödinger, Klein-Gordon or Dirac equation, the calculation of typical observables, time-dependent density functional theory, multi configurational time-dependent Hartree-Fock, time-dependent configuration interaction singles, the strong-field approximation, and the microscopic particle-in-cell approach. Contents How to propagate a wavefunction? Calculation of typical strong-field observables Time-dependent relativistic wave equations: Numerics of the Dirac and the Klein-Gordon equation Time-dependent density functional theory The multiconfiguration time-dependent Hartree-Fock method Time-dependent configuration interaction singles Strong-field approximation and quantum orbits Microscopic particle-in-cell approach