Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics

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Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1992-05-30
Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics 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 1992-05-30 with categories.
This volume contains the lectures given by the three speakers, M Jimbo, P P Kulish and E K Sklyanin, who are outstanding experts in their field. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.
Quantum Group And Quantum Integrable Systems
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Author : M. L. Ge
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1992
Quantum Group And Quantum Integrable Systems written by M. L. Ge 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 1992 with Science categories.
This volume contains the lectures given by the three speakers, M Jimbo, P P Kulish and E K Sklyanin, who are outstanding experts in their field. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.
Quantum Groups
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Author : Vladimir K. Dobrev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-07-10
Quantum Groups written by Vladimir K. Dobrev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-10 with Science categories.
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies
Quantum Group And Quantum Integrable Systems
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Author : Mo-Lin Ge
language : en
Publisher:
Release Date : 1992
Quantum Group And Quantum Integrable Systems 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 1992 with Quantum groups categories.
Integrable Systems Nankai Lectures On Mathematical Physics 1987
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Author : Xing-chang Song
language : en
Publisher: World Scientific
Release Date : 1989-11-01
Integrable Systems Nankai Lectures On Mathematical Physics 1987 written by Xing-chang Song and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-01 with categories.
This workshop is part of a series of annual workshops organised by the Nankai Institute of Mathematics. Prominent scientists from abroad are invited to deliver the main lectures.
Differential Geometric Methods In Theoretical Physics Proceedings Of The Xxi International Conference
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Author : Chen Ning Yang
language : en
Publisher: World Scientific
Release Date : 1993-07-31
Differential Geometric Methods In Theoretical Physics Proceedings Of The Xxi International Conference written by Chen Ning Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-31 with categories.
This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on. It has contributions by renowned experts and covers most of the recent developments in these fields.
Representations Of Algebras And Related Topics
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Author : Andrzej Skowroński
language : en
Publisher: European Mathematical Society
Release Date : 2011
Representations Of Algebras And Related Topics written by Andrzej Skowroński and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.
Models Of Quantum Matter
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Author : Hans-Peter Eckle
language : en
Publisher: Oxford University Press
Release Date : 2019-07-29
Models Of Quantum Matter written by Hans-Peter Eckle and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-29 with Science categories.
An important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter. This book provides an introduction to the arguably most important method for obtaining exact results for strongly interacting models of quantum matter - the Bethe ansatz. It introduces and discusses the physical concepts and mathematical tools used to construct realistic models for a variety of different fields, including condensed matter physics and quantum optics. The various forms of the Bethe ansatz - algebraic, coordinate, multicomponent, and thermodynamic Bethe ansatz, and Bethe ansatz for finite systems - are then explained in depth and employed to find exact solutions for the physical properties of the integrable forms of strongly interacting quantum systems. The Bethe ansatz is one of the very few methodologies which can calculate physical properties non-perturbatively. Arguably, it is the only such method we have which is exact. This means, once the model has been set up, no further approximations or assumptions are necessary, and the relevant physical properties of the model can be computed exactly. Furthermore, an infinite set of conserved quantities can be obtained. The quantum mechanical model under consideration is fully integrable. This makes the search for quantum models which are amenable to an exact solution by the Bethe ansatz, and which are quantum integrable, so important and rewarding. The exact solution will provide benchmarks for other models, which do not admit an exact solution. Bethe ansatz techniques provide valuable insight into the physics of strongly correlated quantum matter.
Symmetry And Perturbation Theory
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Author : Simonetta Abenda
language : en
Publisher: World Scientific
Release Date : 2002
Symmetry And Perturbation Theory written by Simonetta Abenda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
Contents: An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrodinger Equations (S Benenti); Partial Symmetries and Symmetric Sets of Solutions to PDEs (G Cicogna); Bifurcations in Flow-Induced Vibrations (S Fatimah & F Verhulst); Steklov-Lyapunov Type Systems (Y Fedorov); Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile); On the Linearization of holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev); On the Algebro Geometric Solution of a 3x3 Matrix Riemann-Hilbert Problem (v Enolskii & T Grava); Smooth Normalization of a Vector Field Near an Invariant Manifold ((a Kopanskii); Inverse Problems for SL(2) Lattices (V Kuznetsov); Some Remarks about the Geometry of Hamiltonian Conservation Laws (J P Ortega); Janet's Algorithm (W Plesken); Some Integrable Billiards (E Previato); Symmetries of Relative Equilibria for Simple Mechanical Systems (M R Olmos & M E S Dias); A Spectral Sequences Approach to Normal Forms (J Sanders); Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente); Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nucleur Motion in Molecules (V Tyuterev); Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang); and other papers. Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinears science.
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002
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Author : Sebastian Walcher
language : en
Publisher: World Scientific
Release Date : 2003-01-14
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002 written by Sebastian Walcher and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-14 with Science categories.
This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc.