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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 | : 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 | : 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 | : 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 | : Daniel C. Harris |
| Publisher | : Courier Corporation |
| Total Pages | : 588 |
| Release | : 1989-01-01 |
| Genre | : Science |
| ISBN | : 9780486661445 |
Informal, effective undergraduate-level text introduces vibrational and electronic spectroscopy, presenting applications of group theory to the interpretation of UV, visible, and infrared spectra without assuming a high level of background knowledge. 200 problems with solutions. Numerous illustrations. "A uniform and consistent treatment of the subject matter." — Journal of Chemical Education.
| Author | : Joseph J. Stephanos |
| Publisher | : Academic Press |
| Total Pages | : 762 |
| Release | : 2017-06-01 |
| Genre | : Science |
| ISBN | : 012811049X |
Electrons, Atoms, and Molecules in Inorganic Chemistry: A Worked Examples Approach builds from fundamental units into molecules, to provide the reader with a full understanding of inorganic chemistry concepts through worked examples and full color illustrations. The book uniquely discusses failures as well as research success stories. Worked problems include a variety of types of chemical and physical data, illustrating the interdependence of issues. This text contains a bibliography providing access to important review articles and papers of relevance, as well as summaries of leading articles and reviews at the end of each chapter so interested readers can readily consult the original literature. Suitable as a professional reference for researchers in a variety of fields, as well as course use and self-study. The book offers valuable information to fill an important gap in the field. Incorporates questions and answers to assist readers in understanding a variety of problem types Includes detailed explanations and developed practical approaches for solving real chemical problems Includes a range of example levels, from classic and simple for basic concepts to complex questions for more sophisticated topics Covers the full range of topics in inorganic chemistry: electrons and wave-particle duality, electrons in atoms, chemical binding, molecular symmetry, theories of bonding, valence bond theory, VSEPR theory, orbital hybridization, molecular orbital theory, crystal field theory, ligand field theory, electronic spectroscopy, vibrational and rotational spectroscopy
| 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.
