Quantum Groups Integrable Statistical Models And Knot Theory
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Quantum Groups Integrable Statistical Models And Knot Theory The Fifth Nankai Workshop
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1993-06-30
Quantum Groups Integrable Statistical Models And Knot Theory The Fifth Nankai Workshop written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-30 with categories.
The lectures in this volume discuss topics in statistical mechanics, the geometric and algebraic approaches to q-deformation theories, two-dimensional gravity and related problems of mathematical physics, including Vassiliev invariants and the Jones polynomials, the R-matrix with Z-symmetry, reflection equations and quantum algebra, W-geometry, braid linear algebra, holomorphic q-difference systems and q-Poincaré algebra.
Quantum Groups Integrable Statistical Models And Knot Theory
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Author : Héctor J. Vega
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1993
Quantum Groups Integrable Statistical Models And Knot Theory written by Héctor J. Vega and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
Quantum Groups Integrable Statistical Models And Knot Theory Nankai Institute Of Mathematics China 1992
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Author : Mo-Lin Ge
language : en
Publisher:
Release Date : 1993
Quantum Groups Integrable Statistical Models And Knot Theory Nankai Institute Of Mathematics China 1992 written by Mo-Lin Ge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Quantum Groups And Their Representations
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Author : Anatoli Klimyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Groups And Their Representations written by Anatoli Klimyk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.
Quantum Field Theory Statistical Mechanics Quantum Groups And Topology Proceedings Of The Nato Advanced Research Workshop
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Author : Thomas L Curtright
language : en
Publisher: World Scientific
Release Date : 1992-10-28
Quantum Field Theory Statistical Mechanics Quantum Groups And Topology Proceedings Of The Nato Advanced Research Workshop written by Thomas L Curtright and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-28 with categories.
The book is an introduction to quantum mechanics at a level suitable for the second year in a European university (junior or senior year in an American college). The matrix formulation of quantum mechanics is emphasized throughout, and the student is introduced to Dirac notation from the start. A number of major examples illustrate the workings of quantum mechanics. Several of these examples are taken from solid state physics, with the purpose of showing that quantum mechanics forms the common basis for understanding atoms, molecules and condensed matter. The book contains an introductory chapter which puts the concepts of quantum mechanics into a historical framework. The solid-state applications discussed in this text include the quantum Hall effect, spin waves, quantum wells and energy bands. Other examples feature the two-dimensional harmonic oscillator, coherent states, two-electron atoms, the ammonia molecule and the chemical bond. A large number of homework problems are included.
Quantum Groups And Their Applications In Physics
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Author : Società italiana di fisica
language : en
Publisher: IOS Press
Release Date : 1996
Quantum Groups And Their Applications In Physics written by Società italiana di fisica and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book focuses on quantum groups, i.e., continuous deformations of Lie groups, and their applications in physics. These algebraic structures have been studied in the last decade by a growing number of mathematicians and physicists, and are found to underlie many physical systems of interest. They do provide, in fact, a sort of common algebraic ground for seemingly very different physical problems. As it has happened for supersymmetry, the q-group symmetries are bound to play a vital role in physics, even in fundamental theories like gauge theory or gravity. In fact q-symmetry can be considered itself as a generalization of supersymmetry, evident in the q-commutator formulation. The hope that field theories on q-groups are naturally reguralized begins to appear founded, and opens new perspectives for quantum gravity. The topics covered in this book include: conformal field theories and quantum groups, gauge theories of quantum groups, anyons, differential calculus on quantum groups and non-commutative geometry, poisson algebras, 2-dimensional statistical models, (2+1) quantum gravity, quantum groups and lattice physics, inhomogeneous q-groups, q-Poincaregroup and deformed gravity and gauging of W-algebras.
Introduction To Quantum Groups
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Author : Masud Chaichian
language : en
Publisher: World Scientific
Release Date : 1996
Introduction To Quantum Groups written by Masud Chaichian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system — harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest.
Foundations Of Quantum Group Theory
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Author : Shahn Majid
language : en
Publisher: Cambridge University Press
Release Date : 2000
Foundations Of Quantum Group Theory written by Shahn Majid and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Group theory categories.
A graduate level text which systematically lays out the foundations of Quantum Groups.
Statistical Models Yang Baxter Equation And Related Topics Proceedings Of The Satellite Meeting Of Statphys 19 Symmetry Statistical Mechanical Models And Applications Proceedings Of The Seventh Nankai Workshop
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1996-09-20
Statistical Models Yang Baxter Equation And Related Topics Proceedings Of The Satellite Meeting Of Statphys 19 Symmetry Statistical Mechanical Models And Applications Proceedings Of The Seventh Nankai Workshop written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-20 with categories.
This book contains the proceedings of two international conferences: a satellite meeting of the IUPAP Statphys-19 Conference and the Seventh Nankai Workshop, held in Tianjin, China in August 1995. The central theme of the two conferences, which drew participants from 18 countries, was the Yang-Baxter equation and its development and applications. With topics ranging from quantum groups, vertex and spin models, to applications in condensed matter physics, this book reflects the current research interest of integrable systems in statistical mechanics.
Stochastic Processes And Operator Calculus On Quantum Groups
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Author : U. Franz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Stochastic Processes And Operator Calculus On Quantum Groups written by U. Franz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.