The Mathematical Theory of Symmetry in Solids PDF Download

Author: Christopher Bradley
Publisher: Oxford University Press
ISBN: 0199582580
Category : Mathematics
Languages : en
Pages : 758

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Book Description
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: Christopher John Bradley
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: William John Ibbetson
Publisher:
ISBN:
Category : Curvilinear coordinates
Languages : en
Pages : 548

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Author: István Hargittai
Publisher: Elsevier
ISBN: 1483149528
Category : Science
Languages : en
Pages : 1068

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Book Description
International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of "symmetry, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.

Author: S. J. Joshua
Publisher: CRC Press
ISBN: 9780750300711
Category : Science
Languages : en
Pages : 288

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Book Description
Group theory and symmetry are important concepts in solid state physics, but are not widely taught because of the mathematical complexities involved. This book aims to remedy this by using a practical approach which bypasses most of the abstruse detail of formal group theory. The subject is usually developed using abstract entities, but here the author uses concrete examples to aid understanding in his development of the basics of the subject. This makes the book an ideal text for senior undergraduate and graduate students. The book is divided into two parts. Part one introduces the reader to group theoretical techniques and applications via the extensive use of character tables. All topics required for a complete understanding of group theory in the context of solid state physics are covered. The author demonstrates clearly how symmetry arguments can be applied to give detailed insights into the physical properties of crystals. This part ends with a selection of applications which will prove useful to solid state physicists/chemists and materials scientists. Each chapter includes a set of problems with hints and solutions. Part two is self-contained and deals with applications of group theory to the study of the symmetry properties of strongly magnetic crystals. This is a topic usually omitted from group theory texts at this level. Symmetry Principles and Magnetic Symmetry in Solid State Physics is a comprehensive introduction to the subject. It will be of great use to all students of condensed matter and materials science.

Author: Simon L. Altmann
Publisher: Oxford University Press, USA
ISBN:
Category : History
Languages : en
Pages : 312

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Book Description
The structure of much of solid-state theory comes directly from group theory, but until now there has been no elementary introduction to the band theory of solids using this approach. Employing the most basic of group theoretical ideas, and emphasizing the significance of symmetry in determining many of the essential concepts, this is the only book to provide such an introduction. Many topics were chosen with the needs of chemists in mind, and numerous problems are included to enable the reader to apply the major ideas and to complete some parts of the treatment. Physical scientists will also find this a valuable introduction to the field.

Author: Kristopher Tapp
Publisher: Springer Nature
ISBN: 3030516695
Category : Mathematics
Languages : en
Pages : 263

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Book Description
This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Author: Thomas Wolfram
Publisher: Cambridge University Press
ISBN: 1107028523
Category : Mathematics
Languages : en
Pages : 485

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Book Description
An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.

Author: Wolfgang Ludwig
Publisher: Springer Science & Business Media
ISBN: 3642799779
Category : Science
Languages : en
Pages : 488

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Book Description
Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.

Author: Richard C Powell
Publisher: Springer
ISBN: 1441975985
Category : Science
Languages : en
Pages : 238

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Book Description
Complete with reference tables and sample problems, this volume serves as a textbook or reference for solid-state physics and chemistry, materials science, and engineering. Chapters illustrate symmetry, and its role in determining solid properties, as well as a demonstration of group theory.