The Mathematical Theory of Symmetry in Solids

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Publisher : Oxford University Press
ISBN 13 : 0199582580
Total Pages : 758 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis The Mathematical Theory of Symmetry in Solids by : Christopher Bradley

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.

Band Theory of Solids

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Author :
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Band Theory of Solids by : Simon L. Altmann

Download or read book Band Theory of Solids written by Simon L. Altmann and published by Oxford University Press, USA. This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetry

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Publisher : Springer Nature
ISBN 13 : 3030516695
Total Pages : 263 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Symmetry by : Kristopher Tapp

Download or read book Symmetry written by Kristopher Tapp and published by Springer Nature. This book was released on 2021-08-28 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Group Theory to Atoms, Molecules, and Solids

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107028523
Total Pages : 485 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Applications of Group Theory to Atoms, Molecules, and Solids by : Thomas Wolfram

Download or read book Applications of Group Theory to Atoms, Molecules, and Solids written by Thomas Wolfram and published by Cambridge University Press. This book was released on 2014-01-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.

Symmetries in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642799779
Total Pages : 488 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Symmetries in Physics by : Wolfgang Ludwig

Download or read book Symmetries in Physics written by Wolfgang Ludwig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

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.

Theory of Crystal Space Groups and Lattice Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642697070
Total Pages : 558 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Theory of Crystal Space Groups and Lattice Dynamics by : J. L. Birman

Download or read book Theory of Crystal Space Groups and Lattice Dynamics written by J. L. Birman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reissue of Encyclopedia of Physics/Handbuch der Physik, Vol. XXV/2b I am very pleased that my book is now to be reprinted and rebound in a new format which should make it accessible at a modest price to students and active researchers in condensed matter physics. In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments. Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Raman and other transition processes. On the physical side I redeveloped the traditional theory of classical and quantum lattice dynamics, illustrating how space-time symmetry designations in the equations of motion can: 1) simplify and rationalize calculations of the classical eigenvectors of the dynamical equation; 2) permit classification of the eigenstates of the quantum lattice-dynamic pro blem; 3) give specific selection rules for optical infra-red and Raman lattice processes, and thus make "go, no-go" predictions including polarization of absorbed or scattered radiation; and 4) simplify the modern many-body theories of optical processes.

Group Theory in Solid State Physics and Photonics

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 3527413006
Total Pages : 383 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Group Theory in Solid State Physics and Photonics by : Wolfram Hergert

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.

Mechanics and Thermodynamics of Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 3642759750
Total Pages : 575 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Mechanics and Thermodynamics of Continua by : Hershel Markovitz

Download or read book Mechanics and Thermodynamics of Continua written by Hershel Markovitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell

Superlattices and Other Heterostructures

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Publisher : Springer Science & Business Media
ISBN 13 : 3642975895
Total Pages : 382 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Superlattices and Other Heterostructures by : Eougenious L. Ivchenko

Download or read book Superlattices and Other Heterostructures written by Eougenious L. Ivchenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superlattices and Other Heterostructures deals with the optical properties of superlattices and quantum well structures with emphasis on phenomena governed by crystal symmetries. After a brief introduction to group theory and symmetries, methods for calculating spectra of electrons, excitons, and phonons in heterostructures are discussed. Further chapters cover absorption and reflection of light under interband transitions, cyclotron and electron spin-resonance, light scattering by free and bound carriers as well as by optical and acoustic phonons, polarized photoluminescence, optical spin orientation of electrons and excitons, and nonlinear optical and photogalvanic effects.

Fundamentals of the Physics of Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3540726004
Total Pages : 697 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Fundamentals of the Physics of Solids by : Jenö Sólyom

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.

Symmetry Relationships Between Crystal Structures

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Publisher : Academic
ISBN 13 : 0199669953
Total Pages : 349 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Symmetry Relationships Between Crystal Structures by : Ulrich Müller

Download or read book Symmetry Relationships Between Crystal Structures written by Ulrich Müller and published by Academic. This book was released on 2013-04-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the basic information needed to understand and to organize the huge amount of known structures of crystalline solids. Its basis is crystallographic group theory (space group theory), with special emphasis on the relations between the symmetry properties of crystals.

Licht und Materie Ib / Light and Matter Ib

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Publisher : Springer Science & Business Media
ISBN 13 : 3662122707
Total Pages : 553 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Licht und Materie Ib / Light and Matter Ib by : J.L. Birman

Download or read book Licht und Materie Ib / Light and Matter Ib written by J.L. Birman and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Metals, Superconductors, Magnetic Materials, Liquids Disordered Solids, Optical Properties

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Publisher : Elsevier
ISBN 13 : 0444599894
Total Pages : 487 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Metals, Superconductors, Magnetic Materials, Liquids Disordered Solids, Optical Properties by :

Download or read book Metals, Superconductors, Magnetic Materials, Liquids Disordered Solids, Optical Properties written by and published by Elsevier. This book was released on 2012-12-02 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Properties of Solids, Volume 4: Disordered Solids, Optical Properties focuses on the lattice dynamical properties of noncrystalline and disordered solids and optical properties of crystalline solids. The selection first elaborates on the vibrational properties of amorphous solids and computer experiments and disordered solids. Topics include thermal and electrical transport, density of states, numerical methods, localization, low frequency modes, and theoretical background. The text then takes a look at the morphic effects in lattice dynamics, including normal coordinate formalism, electric-field-induced infrared absorption and Raman scattering, stress-induced changes in the phonon frequencies, and the effect of time reversal on the symmetry of the long-wavelength optical. The manuscript examines the absorption of infrared radiation by multiphonon processes in solids, as well as theoretical studies of infrared absorption in the multiphonon region and experimental studies of infrared absorption at frequencies above the characteristic lattice vibration frequencies. The selection is a dependable source of data for researchers interested in the optical properties of crystalline solids and lattice dynamical properties of noncrystalline and disordered solids.

Space Group Representations

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Publisher : Springer Nature
ISBN 13 : 3031139917
Total Pages : 343 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Space Group Representations by : Nikolai B. Melnikov

Download or read book Space Group Representations written by Nikolai B. Melnikov and published by Springer Nature. This book was released on 2023-01-01 with total page 343 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.

Space Groups for Solid State Scientists

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Publisher : Academic Press
ISBN 13 : 0123946158
Total Pages : 423 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Space Groups for Solid State Scientists by : Michael Glazer

Download or read book Space Groups for Solid State Scientists written by Michael Glazer and published by Academic Press. This book was released on 2013-01-03 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Solid State Physics

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Publisher : Academic Press
ISBN 13 : 0128171049
Total Pages : 658 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Solid State Physics by : Joginder Singh Galsin

Download or read book Solid State Physics written by Joginder Singh Galsin and published by Academic Press. This book was released on 2019-02-23 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics: An Introduction to Theory presents an intermediate quantum approach to the properties of solids. Through this lens, the text explores different properties, such as lattice, electronic, elastic, thermal, dielectric, magnetic, semiconducting, superconducting and optical and transport properties, along with the structure of crystalline solids. The work presents the general theory for most of the properties of crystalline solids, along with the results for one-, two- and three-dimensional solids in particular cases. It also includes a brief description of emerging topics, such as the quantum hall effect and high superconductivity. Building from fundamental principles and requiring only a minimal mathematical background, the book includes illustrative images and solved problems in all chapters to support student understanding. - Provides an introduction to recent topics, such as the quantum hall effect, high-superconductivity and nanomaterials - Utilizes the Dirac' notation to highlight the physics contained in the mathematics in an appropriate and succinct manner - Includes many figures and solved problems throughout all chapters to provide a deeper understanding for students - Offers topics of particular interest to engineering students, such as elasticity in solids, dislocations, polymers, point defects and nanomaterials