Braid Group Knot Theory And Statistical Mechanics
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Braid Group Knot Theory And Statistical Mechanics
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1991-06-05
Braid Group Knot Theory And Statistical Mechanics 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 1991-06-05 with Science categories.
Contents:Notes on Subfactors and Statistical Mechanics (V F R Jones)Polynomial Invariants in Knot Theory (L H Kauffman)Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev)Quantum Groups (L Faddeev et al.)Introduction to the Yang-Baxter Equation (M Jimbo)Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno)The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.)Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.)Quantum Field Theory and the Jones Polynomial (E Witten) Readership: Mathematical physicists.
Braid Group Knot Theory And Statistical Mechanics Ii
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Author : Chen Ning Yang
language : en
Publisher: World Scientific
Release Date : 1994
Braid Group Knot Theory And Statistical Mechanics Ii 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 1994 with Science categories.
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.
Braid Group Knot Theory And Statistical Mechanics
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Author : C. N. Yang
language : en
Publisher:
Release Date : 1989
Braid Group Knot Theory And Statistical Mechanics written by C. N. Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Exactly Solved Models A Journey In Statistical Mechanics Selected Papers With Commentaries 1963 2008
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Author : Fa Yueh Wu
language : en
Publisher: World Scientific
Release Date : 2009-03-03
Exactly Solved Models A Journey In Statistical Mechanics Selected Papers With Commentaries 1963 2008 written by Fa Yueh Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-03 with Science categories.
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.
A Gentle Introduction To Knots Links And Braids
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Author : Ruben Aldrovandi
language : en
Publisher: World Scientific
Release Date : 2021-10-14
A Gentle Introduction To Knots Links And Braids written by Ruben Aldrovandi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-14 with Science categories.
The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.
Knots And Physics
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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 1991-06-25
Knots And Physics written by Louis H Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-25 with categories.
This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward the knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related with and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics, knots in dynamical systems.
Knots And Physics Third Edition
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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 2001-07-26
Knots And Physics Third Edition written by Louis H Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-26 with Mathematics categories.
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this third edition, a paper by the author entitled “Knot Theory and Functional Integration” has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.
Jingshin Theoretical Physics Symposium In Honor Of Prof Ta You Wu
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Author : Jong-ping Hsu
language : en
Publisher: World Scientific
Release Date : 1998-06-30
Jingshin Theoretical Physics Symposium In Honor Of Prof Ta You Wu written by Jong-ping Hsu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-30 with Science categories.
Prof T-Y Wu is not only an eminent physicist with an encyclopedic knowledge, but also a motivational teacher and an influential policy maker in science and technology. The young Wu was inspired by Prof Y-T Yao, whose course on modern physics sparked an interest that burned during a long and productive career. Among Wu's achievements are 14 books and more than 120 papers covering subjects from atomic and molecular physics to plasmas and gases to atmospheric physics to relativity theory. Even at the age of 90 he remains active, publishing papers and lecturing on physics.Prof Wu feels grateful that he had the opportunity to educate a group of extremely talented students and, in particular, to discover T D Lee's remarkable talent. Although creative talent is no doubt a product of nature, it must also be nurtured. Prof Wu has played a crucial role for an entire generation of physicists in China and has won great respect from former students such as C N Yang, T D Lee, K Huang, and countless others. Prof Wu's love of physics and his dedication in teaching and research will always be remembered.
Handbook Of Knot Theory
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Author : William Menasco
language : en
Publisher: Elsevier
Release Date : 2005-08-02
Handbook Of Knot Theory written by William Menasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-02 with Mathematics categories.
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
Symmetries And Groups In Contemporary Physics Proceedings Of The Xxix International Colloquium On Group Theoretical Methods In Physics
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Author : Chengming Bai
language : en
Publisher: World Scientific
Release Date : 2013-07-26
Symmetries And Groups In Contemporary Physics Proceedings Of The Xxix International Colloquium On Group Theoretical Methods In Physics written by Chengming Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-26 with Mathematics categories.
This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.