Novel Group Theoretical Methods For Electron Structure Theory
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Novel Group Theoretical Methods For Electron Structure Theory
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Author : Victor G. Yarzhemsky
language : en
Publisher: Springer Nature
Release Date : 2025-02-22
Novel Group Theoretical Methods For Electron Structure Theory written by Victor G. Yarzhemsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-22 with Science categories.
This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors.
Electronic Structure
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Author : Richard M. Martin
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-08
Electronic Structure written by Richard M. Martin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-08 with Science categories.
An important graduate textbook in condensed matter physics by highly regarded physicist.
Modern Quantum Chemistry
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Author : Attila Szabo
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
Modern Quantum Chemistry written by Attila Szabo and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Science categories.
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.
Concepts And Methods In Modern Theoretical Chemistry
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Author : Swapan Kumar Ghosh
language : en
Publisher: CRC Press
Release Date : 2019-09-23
Concepts And Methods In Modern Theoretical Chemistry written by Swapan Kumar Ghosh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-23 with categories.
Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics, the second book in a two-volume set, focuses on the dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters,this book offers chapters written by experts in their fields. It enables readers to learn how concepts from ab initioquantum chemistry and density functional theory (DFT) can be used to describe, understand, and predict chemical dynamics. This book covers a wide range of subjects, including discussions on the following topics: Time-dependent DFT Quantum fluid dynamics (QFD) Photodynamic control, nonlinear dynamics, and quantum hydrodynamics Molecules in a laser field, charge carrier mobility, and excitation energy transfer Mechanisms of chemical reactions Nucleation, quantum Brownian motion, and the third law of thermodynamics Transport properties of binary mixtures Although most of the chapters are written at a level that is accessible to a senior graduate student, experienced researchers will also find interesting new insights in these experts' perspectives. This book provides an invaluable resource toward understanding the whole gamut of atoms, molecules, and clusters.
Strongly Correlated Systems
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Author : Adolfo Avella
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-05
Strongly Correlated Systems written by Adolfo Avella 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 2013-04-05 with Science categories.
This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.
Group Theory
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Author : Mildred S. Dresselhaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-13
Group Theory written by Mildred S. Dresselhaus 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 2007-12-13 with Science categories.
This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.
Atomic Structure
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Author : Edward Uhler Condon
language : en
Publisher: CUP Archive
Release Date : 1980-05-30
Atomic Structure written by Edward Uhler Condon and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-05-30 with Science categories.
The late Professor Condon and Halis Odabşi collaborate to produce an integrated account of the electron structure of atoms.
Electronic Structure And The Properties Of Solids
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Author : Walter A. Harrison
language : ru
Publisher: Courier Corporation
Release Date : 1989-07-01
Electronic Structure And The Properties Of Solids written by Walter A. Harrison and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-01 with Science categories.
"Should be widely read by practicing physicists, chemists and materials scientists." — Philosophical Magazine In this comprehensive and innovative text, Professor Harrison (Stanford University) offers a basic understanding of the electronic structure of covalent and ionic solids, simple metals, transition metals, and their compounds. The book illuminates the relationships of the electronic structures of these materials and shows how to calculate dielectric, conducting, and bonding properties for each. Also described are various methods of approximating electronic structure, providing insight and even quantitative results from the comparisons. Dr. Harrison has also included an especially helpful "Solid State Table of the Elements" that provides all the parameters needed to estimate almost any property of any solid, with a hand-held calculator, using the techniques developed in the book. Designed for graduate or advanced undergraduate students who have completed an undergraduate course in quantum mechanics or atomic and modern physics, the text treats the relation between structure and properties comprehensively for all solids rather than for small classes of solids. This makes it an indispensable reference for all who make use of approximative methods for electronic-structure engineering, semiconductor development and materials science. The problems at the ends of the chapters are an important aspect of the book. They clearly show that the calculations for systems and properties of genuine and current interest are actually quite elementary. Prefaces. Problems. Tables. Appendixes. Solid State Table of the Elements. Bibliography. Author and Subject Indexes. "Will doubtless exert a lasting influence on the solid-state physics literature." — Physics Today
Many Body Methods For Atoms Molecules And Clusters
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Author : Jochen Schirmer
language : en
Publisher: Springer
Release Date : 2018-11-02
Many Body Methods For Atoms Molecules And Clusters written by Jochen Schirmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Science categories.
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.
Novel Group Theoretical Methods For Electron Structure Theory
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Author : VICTOR. YARZHEMSKY
language : en
Publisher: Springer
Release Date : 2024-11-24
Novel Group Theoretical Methods For Electron Structure Theory written by VICTOR. YARZHEMSKY and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-24 with Mathematics categories.