Primer for Point and Space Groups

Primer for Point and Space Groups PDF

Author: Richard Liboff

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 232

ISBN-13: 1468493833

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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.

Introduction to the Physics and Chemistry of Materials

Introduction to the Physics and Chemistry of Materials PDF

Author: Robert J. Naumann

Publisher: CRC Press

Published: 2008-12-22

Total Pages: 562

ISBN-13: 1420061348

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Discusses the Structure and Properties of Materials and How These Materials Are Used in Diverse ApplicationsBuilding on undergraduate students' backgrounds in mathematics, science, and engineering, Introduction to the Physics and Chemistry of Materials provides the foundation needed for more advanced work in materials science. Ideal for a two-semes

Foundations of Crystallography with Computer Applications

Foundations of Crystallography with Computer Applications PDF

Author: Maureen M. Julian

Publisher: CRC Press

Published: 2011-03-05

Total Pages: 368

ISBN-13: 1420060767

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X-ray crystallography provides a unique opportunity to study the arrangement of atoms in a molecule. This book's modern computer-graphics centered approach facilitates the extrapolation of these valuable observations. A unified treatment of crystal systems, the book explains how atoms are arranged in crystals using the metric matrix. Featuring t

Introduction to Mathematical Physics

Introduction to Mathematical Physics PDF

Author: Michael T. Vaughn

Publisher: John Wiley & Sons

Published: 2007-06-18

Total Pages: 548

ISBN-13: 9783527406272

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Alle mathematischen Verfahren, die man nach dem Diplom in Physik beherrschen sollte, sind in diesem Buch nachzulesen. Neben den üblichen Themen aus der Analysis - unendliche Reihen, Funktionen komplexer Variabler, Differenzialgleichungen und lineare Vektorräume - findet sich hier auch eine ausführliche Diskussion der Gruppentheorie, die man in modernen Lehrbüchern mit ähnlichem Themenumfang meist vergeblich sucht.

Fundamentals of the Physics of Solids

Fundamentals of the Physics of Solids PDF

Author: Jenö Sólyom

Publisher: Springer Science & Business Media

Published: 2007-09-19

Total Pages: 697

ISBN-13: 3540726004

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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.

Light Science

Light Science PDF

Author: Thomas Rossing

Publisher: Springer Science & Business Media

Published: 1999-09-24

Total Pages: 496

ISBN-13: 9780387988276

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Intended for students in the visual arts and for others with an interest in art, but with no prior knowledge of physics, this book presents the science behind what and how we see. The approach emphasises phenomena rather than mathematical theories and the joy of discovery rather than the drudgery of derivations. The text includes numerous problems, and suggestions for simple experiments, and also considers such questions as why the sky is blue, how mirrors and prisms affect the colour of light, how compact disks work, and what visual illusions can tell us about the nature of perception. It goes on to discuss such topics as the optics of the eye and camera, the different sources of light, photography and holography, colour in printing and painting, as well as computer imaging and processing.

Space Groups for Solid State Scientists

Space Groups for Solid State Scientists PDF

Author: Michael Glazer

Publisher: Academic Press

Published: 2013-01-03

Total Pages: 423

ISBN-13: 0123946158

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This comprehensively revised – essentially rewritten – new edition of the 1990 edition (described as "extremely useful" by MATHEMATICAL REVIEWS and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups. Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice – useful for instance in symmetry of domain walls in solids

Point Groups, Space Groups, Crystals, Molecules

Point Groups, Space Groups, Crystals, Molecules PDF

Author: R Mirman

Publisher: World Scientific Publishing Company

Published: 1999-05-14

Total Pages: 744

ISBN-13: 9813105364

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This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources. Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner–Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized. In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding. The book can be used at many levels, by many different classes of readers — from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding. Request Inspection Copy

A Primer on Mapping Class Groups

A Primer on Mapping Class Groups PDF

Author: Benson Farb

Publisher: Princeton University Press

Published: 2012

Total Pages: 490

ISBN-13: 0691147949

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The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

Applications of Group Theory in Quantum Mechanics

Applications of Group Theory in Quantum Mechanics PDF

Author: M. I. Petrashen

Publisher: Courier Corporation

Published: 2013-01-03

Total Pages: 338

ISBN-13: 0486172724

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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.