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Author : George Fred KOSTER
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (56 download)
Download or read book Space Groups and Their Representations. (First Published in "Solid State Physics".). written by George Fred KOSTER and published by . This book was released on 1964 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gertjan Koster
Publisher : Elsevier
ISBN 13 : 0323161170
Total Pages : 89 pages
Book Rating : 4.3/5 (231 download)
Download or read book Space Groups and Their Representations written by Gertjan Koster and published by Elsevier. This book was released on 2012-12-02 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kovalev
Publisher : CRC Press
ISBN 13 : 9782881249341
Total Pages : 410 pages
Book Rating : 4.2/5 (493 download)
Download or read book Representation of Crystallographic Space Groups written by Kovalev and published by CRC Press. This book was released on 1993-12-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Christopher Bradley
Publisher : Oxford University Press
ISBN 13 : 0199582580
Total Pages : 758 pages
Book Rating : 4.1/5 (995 download)
Download or read book The Mathematical Theory of Symmetry in Solids written by Christopher Bradley and published by Oxford University Press. This book was released on 2010 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Nikolai B. Melnikov
Publisher :
ISBN 13 : 9783031139925
Total Pages : 0 pages
Book Rating : 4.1/5 (399 download)
Download or read book Space Group Representations written by Nikolai B. Melnikov and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)
Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : George F. Koster
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (91 download)
Download or read book Space Groups and Their Representations written by George F. Koster and published by . This book was released on 1957 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joshua Zak
Publisher : Addison Wesley Longman
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Irreducible Representations of Space Groups written by Joshua Zak and published by Addison Wesley Longman. This book was released on 1969 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Teturo Inui
Publisher : Springer Science & Business Media
ISBN 13 : 3642800211
Total Pages : 409 pages
Book Rating : 4.6/5 (428 download)
Download or read book Group Theory and Its Applications in Physics written by Teturo Inui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Wolfram Hergert
Publisher : John Wiley & Sons
ISBN 13 : 3527413014
Total Pages : 411 pages
Book Rating : 4.5/5 (274 download)
Download or read book Group Theory in Solid State Physics and Photonics written by Wolfram Hergert and published by John Wiley & Sons. This book was released on 2018-05-29 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Richard Liboff
Publisher : Springer Science & Business Media
ISBN 13 : 1468493833
Total Pages : 232 pages
Book Rating : 4.4/5 (684 download)
Download or read book Primer for Point and Space Groups written by Richard Liboff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in the spirit of Liboff's acclaimed text on Quantum Mechanics, this introduction to group theory offers an exceptionally clear presentation with a good sense of what to explain, which examples are most appropriate, and when to give a counter-example.
Author : Patrick W. M. Jacobs
Publisher : Cambridge University Press
ISBN 13 : 9780521642507
Total Pages : 520 pages
Book Rating : 4.6/5 (425 download)
Download or read book Group Theory with Applications in Chemical Physics written by Patrick W. M. Jacobs and published by Cambridge University Press. This book was released on 2005-10-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
Author :
Publisher : Academic Press
ISBN 13 : 0080864694
Total Pages : 473 pages
Book Rating : 4.0/5 (88 download)
Download or read book Solid State Physics written by and published by Academic Press. This book was released on 1957-01-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics
Author : Wolfram Hergert
Publisher : John Wiley & Sons
ISBN 13 : 3527413006
Total Pages : 383 pages
Book Rating : 4.5/5 (274 download)
Download or read book Group Theory in Solid State Physics and Photonics written by Wolfram Hergert and published by John Wiley & Sons. This book was released on 2018-04-20 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert A. Evarestov
Publisher : Springer Science & Business Media
ISBN 13 : 3642604889
Total Pages : 292 pages
Book Rating : 4.6/5 (426 download)
Download or read book Site Symmetry in Crystals written by Robert A. Evarestov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Author : Jenö Sólyom
Publisher : Springer Science & Business Media
ISBN 13 : 3540726004
Total Pages : 697 pages
Book Rating : 4.5/5 (47 download)
Download or read book Fundamentals of the Physics of Solids written by Jenö Sólyom and published by Springer Science & Business Media. This book was released on 2007-09-19 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a three-volume series written by the same author. It aims to deliver a comprehensive and self-contained account of the fundamentals of the physics of solids. In the presentation of the properties and experimentally observed phenomena together with the basic concepts and theoretical methods, it goes far beyond most classic texts. The essential features of various experimental techniques are also explained. The text provides material for upper-level undergraduate and graduate courses. It will also be a valuable reference for researchers in the field of condensed matter physics.
Author : Moiseĭ Aleksandrovich Markov
Publisher : VSP
ISBN 13 : 9789067640701
Total Pages : 722 pages
Book Rating : 4.6/5 (47 download)
Download or read book Group Theoretical Methods in Physics written by Moiseĭ Aleksandrovich Markov and published by VSP. This book was released on 1986-12 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
