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: 15310.00 р. 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: 17762.00 р. 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: 7603.00 р. 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: 12830.00 р. 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: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Isaac Elishakoff Название: Mechanical Vibration: Where Do We Stand? ISBN: 3211998942 ISBN-13(EAN): 9783211998946 Издательство: Springer Рейтинг: Цена: 20896.00 р. 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.
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. It is suitable for scientists, scholars, and students.
Автор: James S. Walker Название: A Student`s Guide to the Ising Model ISBN: 1009096303 ISBN-13(EAN): 9781009096300 Издательство: Cambridge Academ Рейтинг: Цена: 2850.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
Автор: Christian Binek Название: Ising-type Antiferromagnets ISBN: 364207331X ISBN-13(EAN): 9783642073311 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Selected modern aspects of artificially layered structures and bulk materials involving antiferromagnetic long-range order are the main themes of this book.
Автор: Vathsan Название: Introduction To Quantum Physics & I ISBN: 148223811X ISBN-13(EAN): 9781482238112 Издательство: Taylor&Francis Рейтинг: Цена: 27562.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
An Elementary Guide to the State of the Art in the Quantum Information Field
Introduction to Quantum Physics and Information Processing guides beginners in understanding the current state of research in the novel, interdisciplinary area of quantum information. Suitable for undergraduate and beginning graduate students in physics, mathematics, or engineering, the book goes deep into issues of quantum theory without raising the technical level too much.
The text begins with the basics of quantum mechanics required to understand how two-level systems are used as qubits. It goes on to show how quantum properties are exploited in devising algorithms for problems that are more efficient than the classical counterpart. It then explores more sophisticated notions that form the backbone of quantum information theory.
Requiring no background in quantum physics, this text prepares readers to follow more advanced books and research material in this rapidly growing field. Examples, detailed discussions, exercises, and problems facilitate a thorough, real-world understanding of quantum information.
Автор: Gustafson Stephen J., Sigal Israel Michael Название: Mathematical Concepts of Quantum Mechanics ISBN: 3030595617 ISBN-13(EAN): 9783030595616 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
1 Physical Background.- 2 Dynamics.- 3 Observables.- 4 Quantization.- 5 Uncertainty Principle and Stability of Atoms and Molecules.- 6 Spectrum and Dynamics.- 7 Special Cases.- 8 Bound States and Variational Principle.- 9 Scattering States.- Existence of Atoms and Molecules.- 11 Perturbation Theory: Feshbach-Schur Method.- 12 Born-Oppenheimer Approximation and Adiabatic Dynamics.- 13 General Theory of Many-particle Systems.- 14 Self-consistent Approximations.- 15 The Feynman Path Integral.- 16 Semi-classical Analysis.- 17 Resonances.- 18 Quantum Statistics.- 19 Open Quantum Systems.- 20 The Second Quantization.- 21 Quantum Electro-Magnetic Field - Photons.- 22 Standard Model of Non-relativistic Matter and Radiation.- 23 Theory of Radiation.- 24 Renormalization Group.- 25 Mathematical Supplement: Spectral Analysis.- 26 Mathematical Supplement: The Calculus of Variations.- 27 Comments on Literature, and Further Reading.- References.- Index.
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