A Mathematical Introduction To Electronic Structure Theory
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A Mathematical Introduction To Electronic Structure Theory
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Author : Lin Lin
language : en
Publisher: SIAM
Release Date : 2019-06-05
A Mathematical Introduction To Electronic Structure Theory written by Lin Lin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-05 with Mathematics categories.
Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.
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.
Berry Phases In Electronic Structure Theory
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Author : David Vanderbilt
language : en
Publisher: Cambridge University Press
Release Date : 2018-11
Berry Phases In Electronic Structure Theory written by David Vanderbilt 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 2018-11 with Science categories.
An introduction to the role of Berry phases in our modern understanding of the physics of electrons in solids.
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.
Electronic Structure Calculations For Solids And Molecules
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Author : Jorge Kohanoff
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-29
Electronic Structure Calculations For Solids And Molecules written by Jorge Kohanoff 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 2006-06-29 with Science categories.
Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter. This 2006 graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods. It starts with a detailed description of the various theoretical approaches to calculating the electronic structure of solids and molecules, including density-functional theory and chemical methods based on Hartree-Fock theory. The basic approximations are thoroughly discussed, and an in-depth overview of recent advances and alternative approaches in DFT is given. The second part discusses the different practical methods used to solve the electronic structure problem computationally, for both DFT and Hartree-Fock approaches. Adopting a unique and open approach, this textbook is aimed at graduate students in physics and chemistry, and is intended to improve communication between these communities. It also serves as a reference for researchers entering the field.
Modern Electronic Structure Theory
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Author : D. R. Yarkony
language : en
Publisher: World Scientific
Release Date : 1995
Modern Electronic Structure Theory written by D. R. Yarkony and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
Modern Electronic Structure Theory provides a didactically oriented description of the latest computational techniques in electronic structure theory and their impact in several areas of chemistry. The book is aimed at first year graduate students or college seniors considering graduate study in computational chemistry, or researchers who wish to acquire a wider knowledge of this field.
Mathematics For Quantum Chemistry
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Author : Jay Martin Anderson
language : en
Publisher: Courier Corporation
Release Date : 2012-12-13
Mathematics For Quantum Chemistry written by Jay Martin Anderson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Science categories.
Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.
Methods Of Electronic Structure Theory
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Author : Henry F. Schaefer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Methods Of Electronic Structure Theory written by Henry F. Schaefer 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.
These two volumes deal with the quantum theory of the electronic structure of molecules. Implicit in the term ab initio is the notion that approximate solutions of Schrödinger's equation are sought "from the beginning," i. e. , without recourse to experimental data. From a more pragmatic viewpoint, the distin guishing feature of ab initio theory is usually the fact that no approximations are involved in the evaluation of the required molecular integrals. Consistent with current activity in the field, the first of these two volumes contains chapters dealing with methods per se, while the second concerns the application of these methods to problems of chemical interest. In asense, the motivation for these volumes has been the spectacular recent success of ab initio theory in resolving important chemical questions. However, these applications have only become possible through the less visible but equally important efforts of those develop ing new theoretical and computational methods and models. Henry F Schaefer Vll Contents Contents of Volume 4 XIX Chapter 1. Gaussian Basis Sets for Molecular Calculations Thom. H. Dunning, Ir. and P. Ieffrey Hay 1. Introduction . . . . . . . . . . . . . . . . 1 1. 1. Slater Functions and the Hydrogen Moleeule 1 1. 2. Gaussian Functions and the Hydrogen Atom 3 2. Hartree-Fock Calculations on the First Row Atoms 5 2. 1. Valence States of the First Row Atoms 6 7 2. 2. Rydberg States of the First Row Atoms 9 2. 3.
Mathematical Methods In Classical And Quantum Physics
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Author : Tulsi Dass
language : en
Publisher: Universities Press
Release Date : 1998
Mathematical Methods In Classical And Quantum Physics written by Tulsi Dass and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematical physics categories.
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.
Introduction To Quantum Mechanics With Applications To Chemistry
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Author : Linus Pauling
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
Introduction To Quantum Mechanics With Applications To Chemistry written by Linus Pauling 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.
Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.