Group Theory in Physics: A Practitioner`s Guide, Strursberg R. Campoamor, Rausch de Traubenberg Michel
Автор: Strursberg R. Campoamor, Traubenberg M. Rausch de Название: Group Theory in Physics: A Practitioner`s Guide ISBN: 9813273607 ISBN-13(EAN): 9789813273603 Издательство: World Scientific Publishing Рейтинг: Цена: 19008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations ... It is a great achievement that the authors found a balance.'zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts -- the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.
The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.
Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.
Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.
Автор: Wazwaz Abdul-Majid Название: First Course In Integral Equations, A (Second Edition) ISBN: 9814675121 ISBN-13(EAN): 9789814675123 Издательство: World Scientific Publishing Рейтинг: Цена: 6336.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.
Автор: Shannon, Mary Название: Family support for social care practitioners ISBN: 1137604883 ISBN-13(EAN): 9781137604880 Издательство: Springer Рейтинг: Цена: 3912.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This timely textbook provides an introduction, overview and critical analysis of practice and services in relation to current policy developments. With a focus on working with service users across the life course, multi-agency working, and relational and strengths based approaches, it provides a concise exploration of practice guidance, theory, and the legislative context of supporting families.
Автор: Jacobs Название: Introduction to Coalgebra ISBN: 1107177898 ISBN-13(EAN): 9781107177895 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first mature and accessible introduction to coalgebra, providing clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. It will be of interest to mathematicians, computer scientists, mathematical physicists and even economists.
Автор: Wolfram Название: Applications of Group Theory to Atoms, Molecules, and Solids ISBN: 1107028523 ISBN-13(EAN): 9781107028524 Издательство: Cambridge Academ Рейтинг: Цена: 25502.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Taking a unique, applications-oriented approach, this book helps readers understand the power of group theory and gives them the tools needed to analyze any atomic, molecular, or crystalline solid system. With over 100 end-of-chapter exercises, this book is invaluable for graduate students and researchers in the physical sciences.
Автор: J. Bertrand; M. Flato; J.-P. Gazeau; M. Irac-Astau Название: Modern Group Theoretical Methods in Physics ISBN: 9048145988 ISBN-13(EAN): 9789048145980 Издательство: Springer Рейтинг: Цена: 30467.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the Conference in honour of Guy Rideau
Описание: Proceedings of the International Workshop, Acireale, Catania, Italy, October 27--31, 1992
Автор: Das Ashok, Okubo Susumu Название: Lie Groups and Lie Algebras for Physicists ISBN: 9814603279 ISBN-13(EAN): 9789814603270 Издательство: World Scientific Publishing Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
Описание: This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.
Описание: In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrodinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally measured chemical properties. Content:Symmetries of a quantum systemObservables of a quantum systemLie groups and Lie algebrasThe principles of particle classificationThe symmetry group of chemical elementsClassification and chemical properties of elementsAppendix A. Fock’s energy spectrum of the hydrogen atomAppendix B. Representations of some groups
Автор: Ma Zhong-Qi Название: Group Theory for Physicists (Second Edition) ISBN: 9813277963 ISBN-13(EAN): 9789813277960 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.
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