Knots Topology And Quantum Field Theory Proceedings Of The 13th Johns Hopkins Workshop

Author : Luca Lusanna
Publisher : World Scientific
Page : 666 pages
File Size : 46,7 Mb
Release : 1989-12-01
Category : Electronic
ISBN : 9789814611954

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Knots, Topology And Quantum Field Theory: Proceedings Of The 13th Johns Hopkins Workshop by Luca Lusanna Pdf

This book fills a gap in literature for the important interdisciplinary area of biochemical physics, adopting the chemist's view of this topic in the process. The present status of the theory of electron spin effects in fundamental processes such as spin exchange, dipole-dipole interactions, electron transfer, triplet-triplet energy transfer, and annihilation intersystem crossing is reviewed. These effects form a basis for the understanding of the molecular mechanisms essential to chemical and biological reactions including photosynthesis and magnetic field influence, and for the creation of advanced organic magnets and catalysts, as well as the development of new methods of studying the structural and molecular dynamics of biological and non-biological objects.

Author : Thomas L Curtright,Luca Mezincescu,Rafael Nepomechie
Publisher : World Scientific
Page : 366 pages
File Size : 54,7 Mb
Release : 1992-10-28
Category : Electronic
ISBN : 9789814554893

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Quantum Field Theory, Statistical Mechanics, Quantum Groups And Topology - Proceedings Of The Nato Advanced Research Workshop by Thomas L Curtright,Luca Mezincescu,Rafael Nepomechie Pdf

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.

Author : Domokos Gabor,Kovesi-domokos Susan,Bagger Jonathon A
Publisher : World Scientific
Page : 496 pages
File Size : 53,6 Mb
Release : 1996-07-13
Category : Electronic
ISBN : 9789814548281

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Particles, Strings And Cosmology - Proceedings Of The John Hopkins Workshop On Current Problems In Particle Theory 19 And The Pascos Interdisciplinary Symposium 5 by Domokos Gabor,Kovesi-domokos Susan,Bagger Jonathon A Pdf

Written primarily for researchers and graduate students who are new in this emerging field, this book develops the necessary tools so that readers can follow the latest advances in this subject. Readers are first guided to examine the basic informations on nucleon-nucleon collisions and the use of the nucleus as an arena to study the interaction of one nucleon with another. A good survey of the relation between nucleon-nucleon and nucleus-nucleus collisions provides the proper comparison to study phenomena involving the more exotic quark-gluon plasma. Properties of the quark-gluon plasma and signatures for its detection are discussed to aid future searches and exploration for this exotic matter. Recent experimental findings are summarised.

Author : Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan
Publisher : #N/A
Page : 500 pages
File Size : 43,8 Mb
Release : 1991-03-15
Category : Electronic
ISBN : 9789814556507

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Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory by Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan Pdf

This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

Author : Akio Kawauchi
Publisher : Walter de Gruyter GmbH & Co KG
Page : 652 pages
File Size : 55,7 Mb
Release : 2014-07-24
Category : Mathematics
ISBN : 9783110875911

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Knots 90 by Akio Kawauchi Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Robert Marnelius,Lars Brink
Publisher : World Scientific
Page : 386 pages
File Size : 51,5 Mb
Release : 1999-10-05
Category : Electronic
ISBN : 9789814543316

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Novelties In String Theory - Proceedings Of The Johns Hopkins Workshop On Current Problems In Particle Theory 22 by Robert Marnelius,Lars Brink Pdf

Author : Colin Adams,Erica Flapan,Allison Henrich,Louis H. Kauffman,Lewis D. Ludwig,Sam Nelson
Publisher : CRC Press
Page : 1048 pages
File Size : 51,8 Mb
Release : 2021-02-10
Category : Mathematics
ISBN : 9781000222425

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Encyclopedia of Knot Theory by Colin Adams,Erica Flapan,Allison Henrich,Louis H. Kauffman,Lewis D. Ludwig,Sam Nelson Pdf

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." – Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory

Author : Tohru Eguchi,Michio Jimbo,Akihiro Tsuchiya
Publisher : World Scientific
Page : 1104 pages
File Size : 53,9 Mb
Release : 1992-06-25
Category : Electronic
ISBN : 9789814554909

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Infinite Analysis: Rims Project 1991 (In 2 Volumes) by Tohru Eguchi,Michio Jimbo,Akihiro Tsuchiya Pdf

This is a collection of original research papers presented at the workshop. The main topics covered are Conformal Field Theory, Integrable Massive Field Theory, Quantum Gravity, Quantum Group, Lattice Solvable Models, Low Dimensional Topology, and C* Algebras.

Author : Sultan Catto,Alvany Rocha
Publisher : World Scientific
Page : 1228 pages
File Size : 52,6 Mb
Release : 1992-01-27
Category : Electronic
ISBN : 9789814555500

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Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) by Sultan Catto,Alvany Rocha Pdf

This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.

Author : Louis H Kauffman
Publisher : World Scientific
Page : 740 pages
File Size : 46,9 Mb
Release : 1994-01-15
Category : Science
ISBN : 9789814502375

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Knots and Physics by Louis H Kauffman Pdf

In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included. This book is an introduction to knot and link invariants as generalized amplitudes (vacuum–vacuum 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 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 to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems. Contents:Physical KnotsStates and the Bracket PolynomialThe Jones Polynomial and Its GeneralizationsBraids and the Jones PolynomialFormal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)qYang-Baxter Models for Specializations of the Homfly PolynomialThe Alexander PolynomialKnot-Crystals — Classical Knot Theory in Modern GuiseThe Kauffman PolynomialThree Manifold Invariants from the Jones PolynomialIntegral Heuristics and Witten' s InvariantsThe Chromatic PolynomialThe Potts Model and the Dichromatic PolynomialThe Penrose Theory of Spin NetworksKnots and Strings — Knotted StringsDNA and Quantum Field TheoryKnots in Dynamical Systems — The Lorenz Attractorand other papers Readership: Physicists, mathematical physicists and mathematicians. keywords: Reviews of the First Edition: “It is an attractive book for physicists with profuse and often entertaining illustrations … proofs … seldom heavy and nearly always well explained with pictures… succeeds in infusing his own excitement and enthusiasm for these discoveries and their potential implications.” Physics Today “… here is a gold mine where, with care and patience, one should get acquainted with a beautiful subject under the guidance of a most original and imaginative mind.” Mathematical Reviews

Author : Louis H. Kauffman
Publisher : World Scientific
Page : 865 pages
File Size : 43,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814383004

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Knots and Physics by Louis H. Kauffman Pdf

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.

Author : Louis H Kauffman
Publisher : World Scientific
Page : 788 pages
File Size : 53,6 Mb
Release : 2001-07-26
Category : Mathematics
ISBN : 9789814494090

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Knots And Physics (Third Edition) by Louis H Kauffman Pdf

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.

Author : Jürgen Fuchs
Publisher : Cambridge University Press
Page : 452 pages
File Size : 47,9 Mb
Release : 1995-03-09
Category : Mathematics
ISBN : 052148412X

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Affine Lie Algebras and Quantum Groups by Jürgen Fuchs Pdf

This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.

Author : De Witt L. Sumners,Nicholas R. Cozzarelli
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 53,7 Mb
Release : 1992
Category : Mathematics
ISBN : 0821855026

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New Scientific Applications of Geometry and Topology by De Witt L. Sumners,Nicholas R. Cozzarelli Pdf

Geometry and topology are subjects generally considered to be "pure" mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.

Author : Gabor Domokos,Susan Kovesi-domokos
Publisher : World Scientific
Page : 484 pages
File Size : 42,7 Mb
Release : 1992-03-04
Category : Electronic
ISBN : 9789814555302

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Particle Physics From Underground To Heaven - Proceedings Of The Johns Hopkins Workshop On Current Problems In Particle Theory 15 by Gabor Domokos,Susan Kovesi-domokos Pdf

This book addresses the theoretical aspects of the search for 'new physics' beyond the Standard Model of elementary particle interactions. Both accelerator-based and non-accelerator ('astro particle physics') searches are discussed. The contents of the Proceedings are unique in its emphasis on the interaction between these two aspects of particle physics.