Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Описание: The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book considers the equation in the context of algebraic systems and as a problem for computer algebra. It presents an account of the theoretical foundations of solving the equation.
Автор: Alberto Ibort; M.A. Rodr?guez Название: Integrable Systems, Quantum Groups, and Quantum Field Theories ISBN: 9401048746 ISBN-13(EAN): 9789401048743 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute and XXIII GIFT International Seminar on `Recent Problems in Mathematical Physics`, Salamanca, Spain, June 15-27, 1992
Автор: Hannabuss, Keith (billmeir Fellow And Tutor In Mat Название: Introduction to quantum theory ISBN: 0198537948 ISBN-13(EAN): 9780198537946 Издательство: Oxford Academ Рейтинг: Цена: 19404.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to quantum theory primarily for mathematics students, and is based on the sort of material usually covered in the first two years of undergraduate algebra. It includes more mathematical detail than is common in introductory books at this level and covers some more advanced topics.
Автор: J?rg Fr?hlich; Thomas Kerler Название: Quantum Groups, Quantum Categories and Quantum Field Theory ISBN: 3540566236 ISBN-13(EAN): 9783540566236 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Reviews recent results in low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results.
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C.N. Yang and in the work of R.J. Baxter in the field of Statistical Mechanics. At the 1990 International Mathematics Congress, Vladimir Drinfeld, Vaughan F. R. Jones, and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. It turned out that this equation is one of the basic equations in mathematical physics; more precisely, it is used for introducing the theory of quantum groups. It also plays a crucial role in: knot theory, braided categories, the analysis of integrable systems, non-commutative descent theory, quantum computing, non-commutative geometry, etc. Many scientists have used the axioms of various algebraic structures (quasi-triangular Hopf algebras, Yetter-Drinfeld categories, quandles, group actions, Lie (super)algebras, brace structures, (co)algebra structures, Jordan triples, Boolean algebras, relations on sets, etc.) or computer calculations (and Grobner bases) in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem. At present, the study of solutions of the Yang-Baxter equation attracts the attention of a broad circle of scientists. The current volume highlights various aspects of the Yang-Baxter equation, related algebraic structures, and applications.
Описание: Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.
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