Author : Shoon K. Kim
Publisher : Cambridge University Press
Page : 512 pages
File Size : 39,86 MB
Release : 1999-06-24
Category : Mathematics
ISBN : 0521640628
From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.
Author : Thomas Wolfram
Publisher : Cambridge University Press
Page : 485 pages
File Size : 36,81 MB
Release : 2014-01-09
Category : Mathematics
ISBN : 1107028523
An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.
Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 32,69 MB
Release : 2007-12-18
Category : Science
ISBN : 3540328998
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 : Patrick W. M. Jacobs
Publisher : Cambridge University Press
Page : 520 pages
File Size : 32,81 MB
Release : 2005-10-18
Category : Mathematics
ISBN : 9780521642507
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
Author : M. I. Petrashen
Publisher : Courier Corporation
Page : 338 pages
File Size : 35,71 MB
Release : 2013-01-03
Category : Science
ISBN : 0486172724
Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.
Author : Robert A. Evarestov
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 14,82 MB
Release : 2012-12-06
Category : Science
ISBN : 3642604889
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 : Nikolai B. Melnikov
Publisher : Springer Nature
Page : 343 pages
File Size : 19,3 MB
Release : 2023-01-01
Category : Science
ISBN : 3031139917
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 : M.A. Markov
Publisher : CRC Press
Page : 673 pages
File Size : 32,14 MB
Release : 2024-11-15
Category : Science
ISBN : 1040284477
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.
Author : Sidney F. A. Kettle
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 10,30 MB
Release : 2008-03-11
Category : Science
ISBN : 9780470516188
Building on the foundation of the Second Edition, Symmetry and Structure: Readable Group Theory for Chemists, Third Edition turns the complex and potentially difficult subject of group theory into an accessible and readable account of this core area of chemistry. By using a diagrammatical approach and demonstrating the physical principles involved in understanding group theory, the text provides a non-mathematical, yet thorough, treatment of this broad topic. This new edition has been fully revised and updated to include a much more three-dimensional and accurate visualization of many of the key topics. The chapter on octahedral molecules is extended to cover the important topic of the ligand field theory of octahedral transition metal complexes. Problems and summaries are included at the end of each chapter, the book provides detailed answers to frequently asked questions, and numerous diagrams and tables are featured for ease of reading and to enhance student understanding. Symmetry and Structure: Readable Group Theory for Chemists, Third Edition is an essential textbook for all students, researchers and lecturers in chemistry, biochemistry, chemical engineering, physics and material science.
Author : Wolfram Hergert
Publisher : John Wiley & Sons
Page : 387 pages
File Size : 30,97 MB
Release : 2018-08-20
Category : Science
ISBN : 352741133X
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.
