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| Author | : Allen Nussbaum |
| Publisher | : Prentice Hall |
| Total Pages | : 408 |
| Release | : 1971 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : George H. Duffey |
| Publisher | : Courier Corporation |
| Total Pages | : 387 |
| Release | : 2015-02-18 |
| Genre | : Science |
| ISBN | : 0486783146 |
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 | : George H. Duffey |
| Publisher | : Courier Dover Publications |
| Total Pages | : 384 |
| Release | : 2014-01-05 |
| Genre | : Science |
| ISBN | : 0486801322 |
This text introduces advanced undergraduates and graduate students to symmetry relations by means of group theory. Key relationships are derived in detail from first principles. Rather than matrix theory, the treatment employs algebraic theory in deriving the properties of characters and projection operators. This approach is customarily employed in quantum mechanics courses and makes the connection to group structure clearer. Cayley diagrams illustrate the structure of finite groups. Permutation groups are considered in some detail, and the special methods needed for continuous groups are developed. The treatment's broad range of applications offers students assistance in analyzing the modes of motion of symmetric classical systems; the constitutive relations in crystalline systems; the modes of vibration in molecules; the molecular orbitals of molecules; the electronic structures of atoms; the attendant spectra; and fundamental particle multiplets. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.
| Author | : Robert Gilmore |
| Publisher | : Cambridge University Press |
| Total Pages | : 5 |
| Release | : 2008-01-17 |
| Genre | : Science |
| ISBN | : 113946907X |
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
| Author | : Patrick W. M. Jacobs |
| Publisher | : Cambridge University Press |
| Total Pages | : 520 |
| Release | : 2005-10-18 |
| Genre | : Mathematics |
| ISBN | : 9780521642507 |
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
| Author | : M Ladd |
| Publisher | : Elsevier |
| Total Pages | : 424 |
| Release | : 1998-09-01 |
| Genre | : Mathematics |
| ISBN | : 0857099779 |
A comprehensive discussion of group theory in the context of molecular and crystal symmetry, this book covers both point-group and space-group symmetries. Provides a comprehensive discussion of group theory in the context of molecular and crystal symmetry Covers both point-group and space-group symmetries Includes tutorial solutions
| Author | : Pichai Ramadevi |
| Publisher | : Cambridge University Press |
| Total Pages | : 175 |
| Release | : 2019-12-12 |
| Genre | : Science |
| ISBN | : 1108429475 |
Covers two important aspects of group theory namely discrete groups and Lie groups.
| Author | : Mildred S. Dresselhaus |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 576 |
| Release | : 2007-12-13 |
| Genre | : Science |
| ISBN | : 3540328971 |
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 | : Sidney F. A. Kettle |
| Publisher | : John Wiley & Sons |
| Total Pages | : 436 |
| Release | : 2008-03-11 |
| Genre | : Science |
| ISBN | : 9780470516188 |
Building on the foundation of the Second Edition, Symmetry and Structure: Readable Group Theory for Chemists, Third Edition turns the complex and potentially difficult subject of group theory into an accessible and readable account of this core area of chemistry. By using a diagrammatical approach and demonstrating the physical principles involved in understanding group theory, the text provides a non-mathematical, yet thorough, treatment of this broad topic. This new edition has been fully revised and updated to include a much more three-dimensional and accurate visualization of many of the key topics. The chapter on octahedral molecules is extended to cover the important topic of the ligand field theory of octahedral transition metal complexes. Problems and summaries are included at the end of each chapter, the book provides detailed answers to frequently asked questions, and numerous diagrams and tables are featured for ease of reading and to enhance student understanding. Symmetry and Structure: Readable Group Theory for Chemists, Third Edition is an essential textbook for all students, researchers and lecturers in chemistry, biochemistry, chemical engineering, physics and material science.
| Author | : Arthur P. Cracknell |
| Publisher | : Elsevier |
| Total Pages | : 431 |
| Release | : 2016-07-29 |
| Genre | : Science |
| ISBN | : 1483149382 |
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.
