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Thursday, May 7, 2020 | History

6 edition of Quantum groups, quantum categories, and quantum field theory found in the catalog.

Quantum groups, quantum categories, and quantum field theory

by JuМ€rg FroМ€hlich

  • 5 Want to read
  • 33 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Quantum groups.,
  • Quantum field theory.

  • Edition Notes

    Includes bibliographical references (p. 422-428) and index.

    StatementJürg Fröhlich, [Thomas Kerler].
    SeriesLecture notes in mathematics ;, 1542, Lecture notes in mathematics (Springer-Verlag) ;, 1542.
    ContributionsKerler, Thomas, 1965-
    Classifications
    LC ClassificationsQC20.7.G76 F76 1993
    The Physical Object
    Paginationvii, 431 p. :
    Number of Pages431
    ID Numbers
    Open LibraryOL1407014M
    ISBN 103540566236, 0387566236
    LC Control Number93015378

      This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum book is divided into three parts. Pages in category "Quantum field theory" The following pages are in this category, out of approximately total. This list may not reflect recent changes ().(previous page) ().

    Alternatively, the quantum group U q (G) can be regarded as an algebra over the field C(q), the field of all rational functions of an indeterminate q over C. Similarly, the quantum group U q (G) can be regarded as an algebra over the field Q (q), the field of all rational functions of an indeterminate q over Q (see below in the section on quantum groups at q = 0). An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the 4/5(10).

    This is a list of mathematical topics in quantum theory, by Wikipedia page. See also list of functional analysis topics, list of Lie group topics, list of quantum-mechanical systems with analytical solutions. An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the .


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Quantum groups, quantum categories, and quantum field theory by JuМ€rg FroМ€hlich Download PDF EPUB FB2

This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra.

The book is intended for research mathematicians, mathematical physicists and graduate by: This book reviews recent results on low-dimensional quantum field theories and their and quantum field theory book 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. Review. “The book presents a large variety of important subjects, including the basic principles of quantum mechanics.

This good book is recommended for mathematicians, physicists, philosophers of physics, researchers, and advanced students in mathematics and physics, as well as for readers with some elementary physics, 5/5(3).

Reprint of Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves - rotation, Lorentz, permutation groups, symmetric permutation groups Cited by: Path representations of the braid groups for quantum groups at roots of unity.- Duality theory for local quantum theories, dimensions and balancing in quantum categories.- The quantum categories with a generator of dimension less than two.

A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems.

In this book. The treatment of Lorentz and Poincare groups required for a more sophisticated understanding of quantum field theory, however, is not included in this book--for those topics Weinberg's (The Quantum Theory of Fields, Volume 1: Foundations) suggestion of Tung's Group Theory in Physics would seem to be reasonable.

I was also not able to understand Cited by: Abstract. We describe the recent basic result of Doplicher and Roberts characterizing the category of representations of a compact group. We indicate their motivation, coming from quantum field theory, and then state some important related category-theoretic questions which have arisen recently in low-dimensional quantum field by: 1.

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable properties.

The title of the book is a little strange, given that the structures treated are more specific than groups, but the author has explained well the theory of quantum groups, as is it is now referrred to in journal classification by: Get this from a library. Quantum groups, quantum categories, and quantum field theory.

[Jürg Fröhlich; Thomas Kerler] -- This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed. Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions.

It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf Size: KB. Get this from a library. Quantum groups, quantum categories, and quantum field theory. [Jürg Fröhlich; Thomas Kerler]. To set the stage for this first lesson in quantum field theory, let’s imagine, for a moment, that you are a five-year-old child.

You, the child, are talking to an adult, who is giving you one of your first lessons in science. Science, says the adult, is mostly a process of figuring out what things are made of. Everything in the world is made. Quantum field theory (QFT) combines quantum mechanics with Einstein's special theory of relativity and underlies elementary particle physics.

This book presents a philosophical analysis of QFT. It is the first treatise in which the philosophies of space-time, quantum phenomena, and particle interactions are encompassed in a unified framework.

At the time I learned quantum field theory it was considered a folk theo­ rem that it is easy to construct field theories fulfilling either the locality or the spectrum condition.

The construction of an example for the latter case is particularly easy. Take for instance an irreducibleBrand: Springer-Verlag Berlin Heidelberg.

Quantum groups, quantum categories and quantum field theory. Mendeley; CSV; RIS; BibTeX; Download. Abstract (PDF, Kb) Fulltext (PDF, Mb) Closed access. Author. Kerler, Thomas. Date. C-ALGEBRAS + C(STAR)-ALGEBRAS (FUNCTIONAL ANALYSIS); QUANTUM FIELD THEORY; KNOTS + BRAIDS (TOPOLOGY OF LOW Cited by: Additional Physical Format: Print version: Fröhlich, Jürg.

Quantum groups, quantum categories, and quantum field theory. Berlin ; New York: Springer-Verlag, © Discover Book Depository's huge selection of Quantum Physics (quantum Mechanics & Quantum Field Theory) Books online.

Free delivery worldwide on over 20 million titles. FOUR DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORY, HOPF CATEGORIES, AND THE CANONICAL BASES by Louis Crane, Department of Mathematics, KSU and Igor B. Frenkel, Department of Mathematics, Yale University Abstract: We propose a new combinatorial method of constructing 4D-TQFTs.

The method uses a new type of algebraic structure called a Hopf Size: KB. Quantum Theory, Groups and Representations An Introduction intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory.

The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also.An eBook is an electronic book, one you read digitally on your computer, laptop screen, iPad, smartphone or on devices called eBook readers like the Kindle /Nook device.

File Delivery Method An email will be sent to your eBay login email address with a link to download the Rating: % positive.Not to be confused with group theory. This article is about group field theory as a candidate theory of quantum gravity.

Group field theory (GFT) is a quantum field theory in which the base manifold is taken to be a Lie ations: Quantum cosmology, Eternal .