Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach, L.A. Lambe; D.E. Radford

Автор: Rejzner, Kasia
Название: Perturbative algebraic quantum field theory
ISBN: 3319258990 ISBN-13(EAN): 9783319258997
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Introduction.- Algebraic approach to quantum theory.- Algebraic quantum mechanics.- Causality.- Haag-Kastler axioms.- pAQFT axioms.- LCQFT.- Kinematical structure.- The space of field configurations.- Functionals on the configuration space.- Fermionic field configurations.- Vector fields.- Functorial interpretation.- Classical theory.- Dynamics.- Natural Lagrangians.- Homological characterization of the solution space.- The net of topological Poisson algabras.- Analogy with classical mechanics.- Deformation quantization.- Star products.- The star product on the space of multivector fields.- Kдhler structure.- Interaction.- Outline of the approach.- Scatering matrix and time ordered products.- Renormalization group.- Interacting local nets.- Explicit construction.- Gauge theories.- Classical gauge theory.- Gauge-fixing.- BV formalism.- Effective quantum gravity.- From LCQFT to quantum gravity.- Dynamics and symmetries.- Linearized theory.- Quantization.- Relational observables.- Background independence.

Название: A group theoretic approach to quantum information
ISBN: 3319452398 ISBN-13(EAN): 9783319452395
Издательство: Springer
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Цена: 7965.00 р.
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Описание: This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

Автор: Francisco J. Yndurain
Название: Relativistic Quantum Mechanics and Introduction to Field Theory
ISBN: 3642646743 ISBN-13(EAN): 9783642646744
Издательство: Springer
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Цена: 11173.00 р.
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Описание: This advanced textbook supplies graduate students with a primer in quantum theory. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.

Автор: Alberto Ibort; M.A. Rodr?guez
Название: Integrable Systems, Quantum Groups, and Quantum Field Theories
ISBN: 9401048746 ISBN-13(EAN): 9789401048743
Издательство: Springer
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Цена: 6986.00 р.
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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: J?rg Fr?hlich; Thomas Kerler
Название: Quantum Groups, Quantum Categories and Quantum Field Theory
ISBN: 3540566236 ISBN-13(EAN): 9783540566236
Издательство: Springer
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Цена: 9781.00 р.
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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.