Group Theory In Solid State Physics And Photonics PDF Download
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Author | : Wolfram Hergert |
Publisher | : Wiley-VCH |
Total Pages | : 360 |
Release | : 2018-05-18 |
Genre | : Photonics |
ISBN | : 9783527695799 |
Download Group Theory in Solid State Physics and Photonics Book in PDF, ePub and Kindle
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.
Author | : Wolfram Hergert |
Publisher | : John Wiley & Sons |
Total Pages | : 381 |
Release | : 2018-08-20 |
Genre | : Science |
ISBN | : 352741133X |
Download Group Theory in Solid State Physics and Photonics Book in PDF, ePub and Kindle
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.
Author | : Wolfram Hergert |
Publisher | : John Wiley & Sons |
Total Pages | : 360 |
Release | : 2018-05-29 |
Genre | : Science |
ISBN | : 3527413014 |
Download Group Theory in Solid State Physics and Photonics Book in PDF, ePub and Kindle
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.
Author | : Mildred S. Dresselhaus |
Publisher | : Springer Science & Business Media |
Total Pages | : 576 |
Release | : 2007-12-18 |
Genre | : Science |
ISBN | : 3540328998 |
Download Group Theory Book in PDF, ePub and Kindle
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 | : Hans-Waldemar Streitwolf |
Publisher | : |
Total Pages | : 252 |
Release | : 1971 |
Genre | : Mathematics |
ISBN | : |
Download Group Theory in Solid-state Physics Book in PDF, ePub and Kindle
Author | : Jörg Bünemann |
Publisher | : Springer Nature |
Total Pages | : 233 |
Release | : |
Genre | : |
ISBN | : 3031552687 |
Download Group Theory in Physics Book in PDF, ePub and Kindle
Author | : Arthur P. Cracknell |
Publisher | : Taylor & Francis Group |
Total Pages | : 220 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Download Group Theory in Solid-state Physics Book in PDF, ePub and Kindle
Author | : A. P. Cracknell |
Publisher | : |
Total Pages | : 204 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Group theory in solid-state physics Book in PDF, ePub and Kindle
Author | : M. El-Batanouny |
Publisher | : Cambridge University Press |
Total Pages | : 3 |
Release | : 2008-03-13 |
Genre | : Science |
ISBN | : 1139469517 |
Download Symmetry and Condensed Matter Physics Book in PDF, ePub and Kindle
Unlike existing texts, this book blends for the first time three topics in physics - symmetry, condensed matter physics and computational methods - into one pedagogical textbook. It includes new concepts in mathematical crystallography; experimental methods capitalizing on symmetry aspects; non-conventional applications such as Fourier crystallography, color groups, quasicrystals and incommensurate systems; as well as concepts and techniques behind the Landau theory of phase transitions. Adopting a computational approach to the application of group theoretical techniques to solving symmetry related problems, it dramatically alleviates the need for intensive calculations usually found in the presentation of symmetry. Writing computer programs helps the student achieve a firm understanding of the underlying concepts, and sample programs, based on Mathematica, are presented throughout the book. Containing over 150 exercises, this textbook is ideal for graduate students in condensed matter physics, materials science, and chemistry. Solutions and computer programs are available online at www.cambridge.org/9780521828451.
Author | : Nikolai B. Melnikov |
Publisher | : Springer Nature |
Total Pages | : 343 |
Release | : 2023-01-01 |
Genre | : Science |
ISBN | : 3031139917 |
Download Space Group Representations Book in PDF, ePub and Kindle
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.