Group Theoretical Methods And Applications To Molecules And Crystals
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Group Theoretical Methods And Applications To Molecules And Crystals
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Author : Shoon K. Kim
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-24
Group Theoretical Methods And Applications To Molecules And Crystals written by Shoon K. Kim 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 1999-06-24 with Mathematics categories.
From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.
Applications Of Group Theory To Atoms Molecules And Solids
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Author : Thomas Wolfram
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-09
Applications Of Group Theory To Atoms Molecules And Solids written by Thomas Wolfram 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 2014-01-09 with Mathematics categories.
An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.
Space Group Representations
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Author : Nikolai B. Melnikov
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Space Group Representations written by Nikolai B. Melnikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
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.
Crystallographic Texture And Group Representations
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Author : Chi-Sing Man
language : en
Publisher: Springer Nature
Release Date : 2023-01-13
Crystallographic Texture And Group Representations written by Chi-Sing Man and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-13 with Technology & Engineering categories.
This book starts with an introduction to quantitative texture analysis (QTA), which adopts conventions (active rotations, definition of Euler angles, Wigner D-functions) that conform to those of the present-day mathematics and physics literature. Basic concepts (e.g., orientation; orientation distribution function (ODF), orientation density function, and their relationship) are made precise through their mathematical definition. Parts II and III delve deeper into the mathematical foundations of QTA, where the important role played by group representations is emphasized. Part II includes one chapter on generalized QTA based on the orthogonal group, and Part III one on tensorial Fourier expansion of the ODF and tensorial texture coefficients. This work will appeal to students and practitioners who appreciate a precise presentation of QTA through a unifying mathematical language, and to researchers who are interested in applications of group representations to texture analysis. Previously published in the Journal of Elasticity, Volume 149, issues 1-2, April, 2022
Group Theory And Its Applications In Physics
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Author : Teturo Inui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Group Theory And Its Applications In Physics written by Teturo Inui 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 2012-12-06 with Science categories.
This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.
Problems In Structural Inorganic Chemistry
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Author : Wai-Kee Li
language : en
Publisher:
Release Date : 2019
Problems In Structural Inorganic Chemistry written by Wai-Kee Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Science categories.
This textbook offers over 400 problems and solutions in structural inorganic chemistry for senior undergraduates and beginning graduates. It is an updated companion text to Advanced Structural Inorganic Chemistry by the same authors. The new edition adds over 100 new problems and three new chapters on metal compounds and bioinorganic chemistry.
Group Theoretical Methods In Physics Volume Ii
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Author : M.A. Markov
language : en
Publisher: CRC Press
Release Date : 2024-11-15
Group Theoretical Methods In Physics Volume Ii written by M.A. Markov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Science categories.
These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons.
The Geometric Phase In Quantum Systems
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Author : Arno Bohm
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Geometric Phase In Quantum Systems written by Arno Bohm 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 2013-11-11 with Science categories.
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them.
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.