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: Mezo, Istvan Название: The lambert w function ISBN: 0367766833 ISBN-13(EAN): 9780367766832 Издательство: Taylor&Francis Рейтинг: Цена: 102070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is the very first one in the English language dedicated to the Lambert W function, its generalizations, and its applications. One goal is to promote future research on the topic. The book contains all the information one needs when trying to find a result. The most important formulas and results are framed
Автор: Ho-Kei Chan Название: Columnar Structures of Spheres: Fundamentals and Applications ISBN: 9814669482 ISBN-13(EAN): 9789814669481 Издательство: Taylor&Francis Рейтинг: Цена: 118410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book serves as a comprehensive guide for scientists, engineers, and artists who would like to have a good grasp of the fundamentals and applications of columnar structures for their own professional interests.
Автор: Tamblyn Isaac Et Al Название: Thermodynamics ISBN: 9814327522 ISBN-13(EAN): 9789814327527 Издательство: World Scientific Publishing Рейтинг: Цена: 50690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Designed for use in an introductory course in thermodynamics, this book is aimed at students of Physics, Chemistry, Materials Science, and Engineering. As an undergraduate text, it gives a clear description of the theoretical framework of thermodynamics, while providing specific examples of its use in a wide variety of problems.
Автор: Quinn Terrance J Название: (Pre-)Dawning Of Functional Specialization In Physics, The ISBN: 9813209097 ISBN-13(EAN): 9789813209091 Издательство: World Scientific Publishing Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
In modern physics, various fundamental problems have become topics of ongoing debate. There was the 20th century climb to a Standard Model, still accurate at the highest energy levels obtainable so far. But, since the 1970's, a different approach to physics advocates for theories such as string theory, known for their mathematical elegance, even though they either cannot be verified in data or contradict presently known experimental results. In philosophy of physics, there is a gradually emerging consensus that philosophy of physics and physics somehow contribute to a common enterprise. But, there is little sign of progress toward consensus about the nature of that unity. All the while, it is generally recognized that physics is interdisciplinary. There are, of course, differences in focus. But, implicitly at least, there are no "sharp dividing lines" between physics and philosophy of physics; pure and applied physics; physical chemistry; biophysics; medical physics; history and philosophy of physics; physics and society; physics education; and so on. What, then, is progress in physics? The question here is not about ideal structures, but asks about what is going on in physics. Beginnings in discerning the presence of eight main tasks help reveal the (pre-) emergence of a normative omni-disciplinary basis for collaboration that, once adverted to, promises to be constitutive of a new and increasingly effective control of meaning. Originally discovered by Bernard Lonergan in 1965, progress in the new collaboration will not seek to eliminate specialized expertise. It will, though, divide tasks within an eightfold functional division of labor. This book invites attention to data for each of the eight main tasks evident and self-evident in existing scholarship in the community. The book also makes preliminary efforts toward envisioning something of what functional collaboration will look like -- in physics, the Academy and Society.
Автор: Gelfand, Israel M. Название: Collected papers iii ISBN: 3642308139 ISBN-13(EAN): 9783642308130 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hemmo Название: The Road to Maxwell`s Demon ISBN: 1107424321 ISBN-13(EAN): 9781107424326 Издательство: Cambridge Academ Рейтинг: Цена: 49630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Addressing fundamental problems in physics, this book provides a philosophical perspective to statistical mechanics. Mathematical treatments are avoided and instead newly developed conceptual tools are used. This is a fascinating book for graduate students and researchers interested in the foundations and philosophy of physics.
Автор: Israel Robert B. Название: Convexity in the Theory of Lattice Gases ISBN: 0691606196 ISBN-13(EAN): 9780691606194 Издательство: Wiley Рейтинг: Цена: 50690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman`s Introduction gives a general and h
Автор: Newton Isaac Название: The Principia: The Authoritative Translation: Mathematical Principles of Natural Philosophy ISBN: 0520290739 ISBN-13(EAN): 9780520290730 Издательство: Wiley Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Describes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity, and more. It is suitable for scientists, scholars, and students.
Автор: Falkenburg Brigitte Название: Why More is Different ISBN: 3662439107 ISBN-13(EAN): 9783662439104 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The physics of condensed matter, in contrast to quantum physics or cosmology, is not traditionally associated with deep philosophical questions. However, as science - largely thanks to more powerful computers - becomes capable of analysing and modelling ever more complex many-body systems, basic questions of philosophical relevance arise.
Автор: Lewis Ted G. Название: Book of Extremes ISBN: 331906925X ISBN-13(EAN): 9783319069258 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: What makes the 21st century different from the 20th century? This century is the century of extremes -- political, economic, social, and global black-swan events happening with increasing frequency and severity. Life in the 21st century is a long-tailed random walk - Levy walks -- through extreme events of unprecedented impact.
Автор: Isaac Elishakoff Название: Mechanical Vibration: Where Do We Stand? ISBN: 3211998942 ISBN-13(EAN): 9783211998946 Издательство: Springer Рейтинг: Цена: 139310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written by the world`s leading researchers on various topics of linear, nonlinear, and stochastic mechanical vibrations, this work gives an authoritative overview of the classic yet still very modern subject of mechanical vibrations.
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