Applied Group Theory PDF Download
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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 | : George H. Duffey |
Publisher | : Courier Corporation |
Total Pages | : 387 |
Release | : 2015-02-18 |
Genre | : Science |
ISBN | : 0486783146 |
Download Applied Group Theory Book in PDF, ePub and Kindle
This text introduces advanced undergraduates and graduate students to key applications of group theory. Topics include the nature of symmetry operations; applications to vibrating systems, continuum mechanics, and quantum structures; permutation, continuous, and rotation groups; and physical Lie algebras. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.
Author | : Teturo Inui |
Publisher | : Springer Science & Business Media |
Total Pages | : 409 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642800211 |
Download Group Theory and Its Applications in Physics Book in PDF, ePub and Kindle
This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.
Author | : Gerald Burns |
Publisher | : Academic Press |
Total Pages | : 446 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483191494 |
Download Introduction to Group Theory with Applications Book in PDF, ePub and Kindle
Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.
Author | : Patrick W. M. Jacobs |
Publisher | : Cambridge University Press |
Total Pages | : 520 |
Release | : 2005-10-18 |
Genre | : Mathematics |
ISBN | : 9780521642507 |
Download Group Theory with Applications in Chemical Physics Book in PDF, ePub and Kindle
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
Author | : Arthur P. Cracknell |
Publisher | : Elsevier |
Total Pages | : 431 |
Release | : 2016-07-29 |
Genre | : Science |
ISBN | : 1483149382 |
Download Applied Group Theory Book in PDF, ePub and Kindle
Selected Readings in Physics: Applied Group Theory provides information pertinent to the fundamental aspects of applied group theory. This book discusses the properties of symmetry of a system in quantum mechanics. Organized into two parts encompassing nine chapters, this book begins with an overview of the problem of elastic vibrations of a symmetric structure. This text then examines the numbers, degeneracies, and symmetries of the normal modes of vibration. Other chapters consider the conditions under which a polyatomic molecule can have a stable equilibrium configuration when its electronic state has orbital degeneracy. This book discusses as well the effect of an electric field having a given symmetry upon an atom. The final chapter deals with the symmetry of crystals with a magnetic moment. This book is intended to be suitable for final-year students and fresh postgraduate students in physics. Physicists and researcher workers will also find this book extremely useful.
Author | : Arnout Jozef Ceulemans |
Publisher | : Springer Science & Business Media |
Total Pages | : 276 |
Release | : 2013-09-03 |
Genre | : Science |
ISBN | : 940076863X |
Download Group Theory Applied to Chemistry Book in PDF, ePub and Kindle
Chemists are used to the operational definition of symmetry, which crystallographers introduced long before the advent of quantum mechanics. The ball-and-stick models of molecules naturally exhibit the symmetrical properties of macroscopic objects. However, the practitioner of quantum chemistry and molecular modeling is not concerned with balls and sticks, but with subatomic particles: nuclei and electrons. This textbook introduces the subtle metaphors which relate our macroscopic understanding of symmetry to the molecular world. It gradually explains how bodily rotations and reflections, which leave all inter-particle distances unaltered, affect the study of molecular phenomena that depend only on these internal distances. It helps readers to acquire the skills to make use of the mathematical tools of group theory for whatever chemical problems they are confronted with in the course of their own research.
Author | : M. Hamermesh |
Publisher | : |
Total Pages | : |
Release | : 1964 |
Genre | : |
ISBN | : |
Download Group Theory and Its Application to Physical Problems Book in PDF, ePub and Kindle
Author | : M. I. Petrashen |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2013-01-03 |
Genre | : Science |
ISBN | : 0486172724 |
Download Applications of Group Theory in Quantum Mechanics Book in PDF, ePub and Kindle
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.
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.