Space Groups And Their Representations First Published In Solid State Physics
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Space Groups And Their Representations First Published In Solid State Physics
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Author : George Fred KOSTER
language : en
Publisher:
Release Date : 1964
Space Groups And Their Representations First Published In Solid State Physics written by George Fred 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 categories.
Representation Of Crystallographic Space Groups
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Author : Kovalev
language : en
Publisher: CRC Press
Release Date : 1993-12-08
Representation Of Crystallographic Space Groups written by Kovalev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-08 with Science categories.
This new edition of Kovalev's renowned text (first English edition, 1965) presents all the irreducible representations (IRs) and irreducible corepresentations (ICRs) for the 230 crystallographic space groups. In order to give readers the opportunity of representing generally the entire crystallographic symmetry, the method of inducing an IR of the local groups is presented first, and then complete lists of induced representations (InRs) which allow the calculation of the microstructure of any crystal (already known or not yet discovered, but geometrically not forbidden) in any physical question. For research students and researchers in theoretical aspects of solid state physics, crystallography, and space group theory. Translated from the second Russian edition of 1987. Annotation copyright by Book News, Inc., Portland, OR
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:
Release Date : 2022
Space Group Representations written by Nikolai B. Melnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with 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.
Space Groups And Their Representations
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Author : George F. Koster
language : en
Publisher:
Release Date : 1957
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 1957 with Crystallography, Mathematical categories.
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.
Group Theory In Solid State Physics And Photonics
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Author : Wolfram Hergert
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-20
Group Theory In Solid State Physics And Photonics written by Wolfram Hergert and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-20 with Science categories.
While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.
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.
Group Theory
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Author : Mildred S. Dresselhaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-18
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 2007-12-18 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.
Groups Representations And Physics Hbk
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Author : Hugh F. Jones
language : en
Publisher: CRC Press
Release Date : 1990
Groups Representations And Physics Hbk written by Hugh F. Jones and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Art categories.
The representation theory of groups is an extremely useful mathematical framework to use when considering the action of symmetry transformations on quantum systems. This book gives you a mathematically rigorous explanation of the theory, but also includes many examples and illustrations of its uses, especially in solid state and molecular physics. Also included is a chapter on gauge groups. There are problems at the end of each chapter; solutions are given. Aimed primarily at final-year physics undergraduates with a good mathematical background, but also useful to first year postgraduates in solid state, atomic or elementary particle physics.