The Mathematical Theory Of Symmetry In Solids
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The Mathematical Theory Of Symmetry In Solids
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Author : Christopher Bradley
language : en
Publisher: Oxford University Press
Release Date : 2010
The Mathematical Theory Of Symmetry In Solids written by Christopher Bradley and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
The Mathematical Theory Of Symmetry In Solids
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Author : Christopher John Bradley
language : en
Publisher:
Release Date : 2010
The Mathematical Theory Of Symmetry In Solids written by Christopher John Bradley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Symmetries In Physics
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Author : Wolfgang Ludwig
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symmetries In Physics written by Wolfgang Ludwig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Theory Of Crystal Space Groups And Lattice Dynamics
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Author : J. L. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Crystal Space Groups And Lattice Dynamics written by J. L. Birman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Symmetry
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Author : Kristopher Tapp
language : en
Publisher: Springer Nature
Release Date : 2021-08-28
Symmetry written by Kristopher Tapp and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-28 with Mathematics categories.
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.
Mechanics And Thermodynamics Of Continua
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Author : Hershel Markovitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mechanics And Thermodynamics Of Continua written by Hershel Markovitz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell
Group Theory In Solid State Physics And Photonics
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Author : Wolfram Hergert
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-20
Group Theory In Solid State Physics And Photonics written by Wolfram Hergert and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-20 with Science categories.
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.
An Elementary Treatise On The Mathematical Theory Of Perfectly Elastic Solids
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Author : William John Ibbetson
language : en
Publisher:
Release Date : 1887
An Elementary Treatise On The Mathematical Theory Of Perfectly Elastic Solids written by William John Ibbetson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with Curvilinear coordinates categories.
Superlattices And Other Heterostructures
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Author : Eougenious L. Ivchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Superlattices And Other Heterostructures written by Eougenious L. Ivchenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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.
Band Theory Of Solids
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Author : Simon L. Altmann
language : en
Publisher: Oxford University Press, USA
Release Date : 1991
Band Theory Of Solids written by Simon L. Altmann and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with History categories.
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.