Space Group Representations
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Irreducible Representations Of The Space Groups
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Author : Oleg Vladimirovich Kovalev
language : en
Publisher: Routledge
Release Date : 1965
Irreducible Representations Of The Space Groups written by Oleg Vladimirovich Kovalev and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
The Irreducible Representations Of Space Groups
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Author : Joshua Zak
language : en
Publisher: Addison Wesley Longman
Release Date : 1969
The Irreducible Representations Of Space Groups written by Joshua Zak and has been published by Addison Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
The Mathematical Theory Of Symmetry In Solids
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Author : Christopher Bradley
language : en
Publisher: Oxford University Press
Release Date : 2010
The Mathematical Theory Of Symmetry In Solids written by Christopher Bradley and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This classic book gives, in extensive tables, the irreducible representations of the crystallographic point groups and space groups. These are useful in studying the eigenvalues and eigenfunctions of a particle or quasi-particle in a crystalline solid. The theory is extended to the corepresentations of the Shubnikov groups.
Space Groups And Their Representations
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Author : George F. Koster
language : en
Publisher:
Release Date : 1964
Space Groups And Their Representations written by George F. Koster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Group theory categories.
Space Groups And Their Representations
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Author : Gertjan Koster
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Space Groups And Their Representations written by Gertjan Koster and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.
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.
An Introduction To Group Representation Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1975-11-05
An Introduction To Group Representation Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-11-05 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Special Functions And The Theory Of Group Representations
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Author : Naum I͡Akovlevich Vilenkin
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Special Functions And The Theory Of Group Representations written by Naum I͡Akovlevich Vilenkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Group Representation Theory For Physicists 2nd Edition
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Author : Jialun Ping
language : en
Publisher: World Scientific Publishing Company
Release Date : 2002-08-15
Group Representation Theory For Physicists 2nd Edition written by Jialun Ping and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-15 with Science categories.
This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented.Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.
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.