2014, ISBN: 9789812796226

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 kno… More...

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. 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. Contents: Physical KnotsStates and the Bracket PolynomialThe Jones Polynomial and Its GeneralizationsBraids and the Jones PolynomialFormal Feynman Diagrams, Bracket as Vacuum-Vacuum Expectation and the Quantum Group SL(2)qYang-Baxter Models for Specializations of the Homfly PolynomialsThe Alexander PolynomialKnot-Crystals — Classical Knot Theory in Modern GuiseIntegral Heuristics and Witten's InvariantsThe Chromatic PolynomialThe Potts Model and the Dichromatic PolynomialThe Penrose Theory of Spin NetworksConformal Field Theory and Topology, and othersReadership: Mathematical physicists and topologists. Key Features: Aimed at students who are looking for a less advanced textbookUnique treatment of specific topicsEmphasis on spectroscopy, molecules, the basis of cometary studies, etc. eBooks, , Knots And Physics~~EBook~~9789812796226~~Louis H. Kauffman, , Knots And Physics, Louis H. Kauffman, 9789812796226, World Scientific Publishing Company, 06/25/1991, , , , World Scientific Publishing Company<

2014, ISBN: 9789812796226

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 kno… More...

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. 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. Contents: Physical KnotsStates and the Bracket PolynomialThe Jones Polynomial and Its GeneralizationsBraids and the Jones PolynomialFormal Feynman Diagrams, Bracket as Vacuum-Vacuum Expectation and the Quantum Group SL(2)qYang-Baxter Models for Specializations of the Homfly PolynomialsThe Alexander PolynomialKnot-Crystals — Classical Knot Theory in Modern GuiseIntegral Heuristics and Witten's InvariantsThe Chromatic PolynomialThe Potts Model and the Dichromatic PolynomialThe Penrose Theory of Spin NetworksConformal Field Theory and Topology, and othersReadership: Mathematical physicists and topologists. Key Features: Aimed at students who are looking for a less advanced textbookUnique treatment of specific topicsEmphasis on spectroscopy, molecules, the basis of cometary studies, etc. eBooks, , Knots And Physics~~EBook~~9789812796226~~Louis H. Kauffman, , Knots And Physics, Louis H. Kauffman, 9789812796226, World Scientific Publishing Company, 06/25/1991, , , , World Scientific Publishing Company<

1991, ISBN: 9789812796226

eBooks, eBook Download (PDF), [PU: World Scientific Publishing Company], World Scientific Publishing Company, 1991

1991, ISBN: 9789812796226

eBook Download (PDF), eBooks, [PU: WSPC]

ISBN: 9789812796226

Knots And Physics ab 216.49 EURO Medien > Bücher