[PDF] Physics In Non Commutative World

Physics in Non commutative World PDF
Author: Miao Li
Publisher: Rinton PressInc
ISBN: 9781589490215
Size: 79.42 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 596
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Physics In Non Commutative World

by Miao Li, release date 2002, Physics In Non Commutative World Books available in PDF, EPUB, Mobi Format. Download Physics In Non Commutative World books, A study of field theories relating to physics in noncommutative worlds. This reprint is designed to serve young students and interested researchers with a source of original ideas and techniques. It includes eight chapters, each commencing with a brief introduction.




[PDF] An Invitation To Noncommutative Geometry

An Invitation to Noncommutative Geometry PDF
Author: Masoud Khalkhali
Publisher: World Scientific
ISBN: 9812814337
Size: 57.98 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 515
View: 6746

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An Invitation To Noncommutative Geometry

by Masoud Khalkhali, release date 2008, An Invitation To Noncommutative Geometry Books available in PDF, EPUB, Mobi Format. Download An Invitation To Noncommutative Geometry books, A walk in the noncommutative garden / A. Connes and M. Marcolli -- Renormalization of noncommutative quantum field theory / H. Grosse and R. Wulkenhaar -- Lectures on noncommutative geometry / M. Khalkhali -- Noncommutative bundles and instantons in Tehran / G. Landi and W. D. van Suijlekom -- Lecture notes on noncommutative algebraic geometry and noncommutative tori / S. Mahanta -- Lectures on derived and triangulated categories / B. Noohi -- Examples of noncommutative manifolds: complex tori and spherical manifolds / J. Plazas -- D-branes in noncommutative field theory / R. J. Szabo




[PDF] Quantization Geometry And Noncommutative Structures In Mathematics And Physics

Quantization  Geometry and Noncommutative Structures in Mathematics and Physics PDF
Author: Alexander Cardona
Publisher: Springer
ISBN: 3319654276
Size: 67.58 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 341
View: 1769

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Quantization Geometry And Noncommutative Structures In Mathematics And Physics

by Alexander Cardona, release date 2017-10-26, Quantization Geometry And Noncommutative Structures In Mathematics And Physics Books available in PDF, EPUB, Mobi Format. Download Quantization Geometry And Noncommutative Structures In Mathematics And Physics books, This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory.




[PDF] Non Commutative Geometry

Non commutative Geometry PDF
Author: Supriya Kar
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812380524
Size: 48.16 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 250
View: 526

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Non Commutative Geometry

by Supriya Kar, release date 2018-01-31, Non Commutative Geometry Books available in PDF, EPUB, Mobi Format. Download Non Commutative Geometry books, This book provides a systematic, comprehensive and up-to-date account of the recent developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and quantum fields.Since non-commutative geometry has recently aroused renewed interest in open string theory, the author motivates the text from the viewpoint of a string theory. He begins with an introduction to the subject, explaining what one means by non-commutative geometry and why it is relevant to study such geometry, and discussing its possible origin in a string theory.The book comprises nine chapters. Chapter 1 gives a sound mathematical ntroduction to non-commutative spacetime coordinates in classical and quantum physics. In Chapter 2, non-commutativity in a string theory is discussed at a pedagogic level. Chapter 3 deals with an aribitrary D-brane dynamics and Chapter 4 describes the non-commutative gauge theories on a D-brane. In Chapters 5-9, non-commutative quantum field theory (NCQFT) is addressed. In particular, Chapter 5 deals with the real scalar NCQFT, Chapter 6 with that of complex scalar field, Chapter 7 describes spontaneous symmetry breaking in scalar NCQFT, Chapter 8 deals with the U(1) Gauge theory and Chapter 9 with SU(n) Gauge theories.Students will find this book useful as a bridge between string and field theories. In addition, it will prove invaluable for interdisciplinary areas of study.




[PDF] Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory

Noncommutative Geometry And Physics 4   Workshop On Strings  Membranes And Topological Field Theory PDF
Author: Kotani Motoko
Publisher: World Scientific
ISBN: 9813144629
Size: 46.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 412
View: 943

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Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory

by Kotani Motoko, release date 2017-03-16, Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory Books available in PDF, EPUB, Mobi Format. Download Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory books, This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period 2014–2016. This volume especially contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.




[PDF] Mathematical Reviews

Mathematical Reviews PDF
Author:
Publisher:
ISBN:
Size: 31.59 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages :
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Mathematical Reviews

by , release date 2004, Mathematical Reviews Books available in PDF, EPUB, Mobi Format. Download Mathematical Reviews books,




[PDF] Noncommutative Structures In Mathematics And Physics

Noncommutative Structures in Mathematics and Physics PDF
Author: Steven Duplij
Publisher: Springer Science & Business Media
ISBN: 9780792369998
Size: 17.56 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 484
View: 942

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Noncommutative Structures In Mathematics And Physics

by Steven Duplij, release date 2001-05-31, Noncommutative Structures In Mathematics And Physics Books available in PDF, EPUB, Mobi Format. Download Noncommutative Structures In Mathematics And Physics books, A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.




[PDF] Hopf Algebras In Noncommutative Geometry And Physics

Hopf Algebras in Noncommutative Geometry and Physics PDF
Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 9780824757595
Size: 44.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 344
View: 7751

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Hopf Algebras In Noncommutative Geometry And Physics

by Stefaan Caenepeel, release date 2004-11-08, Hopf Algebras In Noncommutative Geometry And Physics Books available in PDF, EPUB, Mobi Format. Download Hopf Algebras In Noncommutative Geometry And Physics books, This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their comodules in relation to ring and Hopf algebra theory and analyzes entwining structures and Morita theory for corings.




[PDF] Geometric Methods In Physics Xxxvi

Geometric Methods in Physics XXXVI PDF
Author: Piotr Kielanowski
Publisher: Springer
ISBN: 3030011569
Size: 51.26 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 425
View: 2203

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Geometric Methods In Physics Xxxvi

by Piotr Kielanowski, release date 2019-03-11, Geometric Methods In Physics Xxxvi Books available in PDF, EPUB, Mobi Format. Download Geometric Methods In Physics Xxxvi books, This book collects papers based on the XXXVI Białowieża Workshop on Geometric Methods in Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of mathematics and physics, represents a major annual event in the field. Based on presentations given at the Workshop, the papers gathered here are previously unpublished, at the cutting edge of current research, and primarily grounded in geometry and analysis, with applications to classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali, a distinguished mathematical physicist at Concordia University, Montreal, who passed away in January 2016. For the past six years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising a series of advanced lectures for graduate students and early-career researchers. The extended abstracts of this year’s lecture series are also included here. The unique character of the Workshop-and-School series is due in part to the venue: a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum, and local traditions are interwoven with the scientific activities.




[PDF] Vertex Operator Algebras In Mathematics And Physics

Vertex Operator Algebras in Mathematics and Physics PDF
Author: Stephen Berman
Publisher: American Mathematical Soc.
ISBN: 9780821871447
Size: 40.20 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 249
View: 3760

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Vertex Operator Algebras In Mathematics And Physics

by Stephen Berman, release date , Vertex Operator Algebras In Mathematics And Physics Books available in PDF, EPUB, Mobi Format. Download Vertex Operator Algebras In Mathematics And Physics books, Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as ''string-theoretic analogues'' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, ''Vertex Operator Algebras in Mathematics and Physics'', held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.