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Topology and Quantum Theory in Interaction, David Ayala, Daniel S. Freed, Ryan E. Grady


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Автор: David Ayala, Daniel S. Freed, Ryan E. Grady
Название:  Topology and Quantum Theory in Interaction
ISBN: 9781470442439
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470442434
Обложка/Формат: Paperback
Страницы: 262
Вес: 1.21 кг.
Дата издания: 30.11.2018
Серия: Contemporary mathematics
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry,Topology,Mathematical physics
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Поставляется из: Англии
Описание: This volume contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31-August 4, 2017, at Montana State University in Bozeman, Montana.In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal.Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costellos approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is.
Дополнительное описание: Mathematical physics|Geometry|Topology


Geometry of Quantum States

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 91860.00 T
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

Автор: Albert S. Schwarz
Название: Quantum Field Theory and Topology
ISBN: 3642081304 ISBN-13(EAN): 9783642081309
Издательство: Springer
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Цена: 93160.00 T
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Описание: Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. The book is aimed at physicists interested in applications of topology to physics and at mathematicians wishing to familiarize themselves with quantum field theory and the mathematical methods used in this field.

Geometry, Topology and Quantum Field Theory

Автор: P. Bandyopadhyay
Название: Geometry, Topology and Quantum Field Theory
ISBN: 9048163382 ISBN-13(EAN): 9789048163380
Издательство: Springer
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Цена: 113180.00 T
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Описание: It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase.

Geometric, Algebraic and Topological Methods for Quantum Fie

Автор: Cardona Alexander
Название: Geometric, Algebraic and Topological Methods for Quantum Fie
ISBN: 9814460044 ISBN-13(EAN): 9789814460040
Издательство: World Scientific Publishing
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Цена: 141510.00 T
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Описание: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.

Low-Dimensional Topology and Quantum Field Theory

Автор: Hugh Osborn
Название: Low-Dimensional Topology and Quantum Field Theory
ISBN: 1489916148 ISBN-13(EAN): 9781489916143
Издательство: Springer
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Цена: 139750.00 T
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Описание: Proceedings of a NATO ARW held in Cambridge, UK, September 6-12, 1992

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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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.

Summary of Flow Modulation and Fluid-Structure Interaction Findings

Автор: Wolfgang Schr?der
Название: Summary of Flow Modulation and Fluid-Structure Interaction Findings
ISBN: 364204087X ISBN-13(EAN): 9783642040870
Издательство: Springer
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Цена: 315850.00 T
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Описание: Investigates numerically and experimentally fundamental problems of very high capacity aircraft having large elastic wings. This title summarizes the findings of the research program at RWTH Aachen University which was funded by the Deutsche Forschungsgemeinschaft (DFG) from 1997 through 2008.

Multi-scale Analysis for Random Quantum Systems with Interaction

Автор: Victor Chulaevsky; Yuri Suhov
Название: Multi-scale Analysis for Random Quantum Systems with Interaction
ISBN: 1493939521 ISBN-13(EAN): 9781493939527
Издательство: Springer
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Цена: 79190.00 T
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Описание:

Propagation and localization phenomena in solid state physics and, more generally, in complex and disordered media, have attracted the attention of physicists and mathematicians for many years. One of the most powerful and rigorous methods of analysis of these phenomena is so-called multi-scale analysis.

This monograph gives a systematic exposition of this method for random lattice Schrodinger operators (LSO) with interaction. These results belong to the authors; many of them are presented for the first time in the literature. The authors focus on the Anderson tight binding model, which is most accessible to a broad audience. Also given is a detailed review of various relevant methods (generated, mainly, for the single-particle case), and a discussion of their strong and weak sides regarding their applicability to multi-particle systems.

The level of presentation is suitable for graduate students possessing basic knowledge of functional analysis, probability theory and quantum mechanics. The complete presentation of basic results and methods of spectral theory of self-adjoint operators required for understanding of localization theory makes the presentation self-contained and available for non-specialists in this area.


A Concise Text on Advanced Linear Algebra

Автор: Yang
Название: A Concise Text on Advanced Linear Algebra
ISBN: 1107456819 ISBN-13(EAN): 9781107456815
Издательство: Cambridge Academ
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Цена: 39060.00 T
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Описание: An engaging textbook for advanced undergraduate students and beginning graduates covering the core subjects in linear algebra. The author clearly motivates the theory to give readers a thorough grasp of the concepts and draws clear links to applications in mathematics and beyond.

Factorization Algebras in Quantum Field Theory

Автор: Costello
Название: Factorization Algebras in Quantum Field Theory
ISBN: 1107163102 ISBN-13(EAN): 9781107163102
Издательство: Cambridge Academ
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Цена: 146790.00 T
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Описание: Ideal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.

Zeta Functions, Topology and Quantum Physics

Автор: Takashi Aoki; Shigeru Kanemitsu; Mikio Nakahara; Y
Название: Zeta Functions, Topology and Quantum Physics
ISBN: 1441937641 ISBN-13(EAN): 9781441937643
Издательство: Springer
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Цена: 167700.00 T
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Описание: This volume contains papers by invited speakers of the symposium "Zeta Functions, Topology and Quantum Physics" held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003.

Three-dimensional geometry and topology

Автор: Thurston, William P.
Название: Three-dimensional geometry and topology
ISBN: 0691083045 ISBN-13(EAN): 9780691083049
Издательство: Wiley
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Цена: 116160.00 T
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Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.


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