An Introduction To Electronic Structure Theory

Author : Lin Lin
Publisher : SIAM
ISBN 13 : 1611975794
Total Pages : 138 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Introduction to Electronic Structure Theory written by Lin Lin and published by SIAM. This book was released on 2019-06-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Trygve Helgaker
Publisher : John Wiley & Sons
ISBN 13 : 1119019559
Total Pages : 949 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

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.

Author : Attila Szabo
Publisher : Courier Corporation
ISBN 13 : 0486134598
Total Pages : 480 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

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.

Author : Richard M. Martin
Publisher : Cambridge University Press
ISBN 13 : 9780521782852
Total Pages : 658 pages
Book Rating : 4.56/5 ( download)

DOWNLOAD NOW!

Download or read book Electronic Structure written by Richard M. Martin and published by Cambridge University Press. This book was released on 2004-04-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important graduate textbook in condensed matter physics by highly regarded physicist.

Author : Nadia T. Paulsen
Publisher :
ISBN 13 : 9781536184112
Total Pages : 187 pages
Book Rating : 4.1X/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Electronic Structure Theory written by Nadia T. Paulsen and published by . This book was released on 2020 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In An Introduction to Electronic Structure Theory, Quantum Information Theory is applied to donor-acceptor systems. Reaction stages and charge-transfer phenomena are described, continuities of probability and phase distributions are explored, and resultant information descriptors combining classical and nonclassical contributions are summarized. The authors describe the most efficient method for studying the electronic structure of solids, the magnetic dilution method, or the study of the magnetic susceptibility of diluted solid solutions of paramagnetic oxides in diamagnetic isomorphous matrices. A review of the mathematical modeling and investigation of the electronic structure of some nanomaterials, composite materials, and graphene is presented using the Parameterized Model number 3 (PM3) semi-empirical method. A basic introduction of electronic structure theory with commonly used notation is provided, as well as its applications for studying the physical properties of materials. Lastly, based on a concept of "different prescription for different correlation", a multireference Brillouin-Wigner perturbation scheme with improved virtual orbitals is presented as an accurate and affordable computational protocol for treating electronic states plagued by quasidegeneracy"--

Author : David Vanderbilt
Publisher : Cambridge University Press
ISBN 13 : 110715765X
Total Pages : 395 pages
Book Rating : 4.51/5 ( download)

DOWNLOAD NOW!

Download or read book Berry Phases in Electronic Structure Theory written by David Vanderbilt and published by Cambridge University Press. This book was released on 2018-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the role of Berry phases in our modern understanding of the physics of electrons in solids.

Author : Carl Trindle
Publisher : CRC Press
ISBN 13 : 0849384079
Total Pages : 505 pages
Book Rating : 4.73/5 ( download)

DOWNLOAD NOW!

Download or read book Electronic Structure Modeling written by Carl Trindle and published by CRC Press. This book was released on 2008-05-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry, including electronic structure modeling, is a fast and accurate tool for treating large chemically meaningful systems. Unique among current quantum chemistry texts, Electronic Structure Modeling: Connections Between Theory and Software enables nonspecialists to employ computational methods in their own investigations. The t

Author : Isaac B. Bersuker
Publisher : John Wiley & Sons
ISBN 13 : 0470920858
Total Pages : 658 pages
Book Rating : 4.55/5 ( download)

DOWNLOAD NOW!

Download or read book Electronic Structure and Properties of Transition Metal Compounds written by Isaac B. Bersuker and published by John Wiley & Sons. This book was released on 2010-12-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: With more than 40% new and revised materials, this second edition offers researchers and students in the field a comprehensive understanding of fundamental molecular properties amidst cutting-edge applications. Including ~70 Example-Boxes and summary notes, questions, exercises, problem sets, and illustrations in each chapter, this publication is also suitable for use as a textbook for advanced undergraduate and graduate students. Novel material is introduced in description of multi-orbital chemical bonding, spectroscopic and magnetic properties, methods of electronic structure calculation, and quantum-classical modeling for organometallic and metallobiochemical systems. This is an excellent reference for chemists, researchers and teachers, and advanced undergraduate and graduate students in inorganic, coordination, and organometallic chemistry.

Author : Lin Lin
Publisher : SIAM
ISBN 13 : 1611975808
Total Pages : 127 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Introduction to Electronic Structure Theory written by Lin Lin and published by SIAM. This book was released on 2019-06-05 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Walter A. Harrison
Publisher : Courier Corporation
ISBN 13 : 0486141780
Total Pages : 610 pages
Book Rating : 4.87/5 ( download)

DOWNLOAD NOW!

Download or read book Electronic Structure and the Properties of Solids written by Walter A. Harrison and published by Courier Corporation. This book was released on 2012-03-08 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers basic understanding of the electronic structure of covalent and ionic solids, simple metals, transition metals and their compounds; also explains how to calculate dielectric, conducting, bonding properties.