The Theory Of Quantum Torus Knots Volume Iii
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The Theory Of Quantum Torus Knots
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Author :
language : en
Publisher:
Release Date : 2020-05-06
The Theory Of Quantum Torus Knots written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with categories.
The Theory Of Quantum Torus Knots
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Author : Michael Ungs
language : en
Publisher:
Release Date : 2020-05-06
The Theory Of Quantum Torus Knots written by Michael Ungs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with categories.
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
The Theory Of Quantum Torus Knots Volume Ii
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Author : Michael Ungs
language : en
Publisher: Lulu.com
Release Date : 2010-06-23
The Theory Of Quantum Torus Knots Volume Ii written by Michael Ungs and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-23 with Technology & Engineering categories.
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, Navier-Stokes hydrodynamics, and Maxwell electromagnetism by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
The Theory Of Quantum Torus Knots
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Author :
language : en
Publisher:
Release Date : 2020-05-06
The Theory Of Quantum Torus Knots written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with categories.
The Theory Of Quantum Torus Knots Volume Iii
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Author : Michael Ungs
language : en
Publisher: Lulu.com
Release Date : 2010-08-31
The Theory Of Quantum Torus Knots Volume Iii written by Michael Ungs and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-31 with Technology & Engineering categories.
Appendicies A to I that are referenced by Volumes I and II in the theory of quantum torus knots (QTK). A detailed mathematical derivation of space curves is provided that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics.
The Theory Of Quantum Torus Knots
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Author : Michael James Ungs
language : en
Publisher:
Release Date : 2020-05-06
The Theory Of Quantum Torus Knots written by Michael James Ungs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with categories.
The mathematical building block presented in the four-volume set is called the theory of quantum torus knots (QTK), a theory that is anchored in the principles of differential geometry and 2D Riemannian manifolds for 3D curved surfaces. The reader is given a mathematical setting from which they will be able to witness the derivations, solutions, and interrelationships between theories and equations taken from classical and modern physics. Included are the equations of Ginzburg-Landau, Gross-Pitaevskii, Kortewig-de Vries, Landau-Lifshitz, nonlinear Schrödinger, Schrödinger-Ginzburg-Landau, Maxwell, Navier-Stokes, and Sine-Gordon. They are applied to the fields of aerodynamics, electromagnetics, hydrodynamics, quantum mechanics, and superfluidity. These will be utilized to elucidate discussions and examples involving longitudinal and transverse waves, convected waves, solitons, special relativity, torus knots, and vortices.
The Theory Of Quantum Torus Knots
DOWNLOAD
Author : Michael Ungs
language : en
Publisher: Lulu.com
Release Date : 2009-11-06
The Theory Of Quantum Torus Knots written by Michael Ungs and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-06 with Technology & Engineering categories.
A detailed mathematical derivation of space curves is presented that links the diverse fields of superfluids, quantum mechanics, and hydrodynamics by a common foundation. The basic mathematical building block is called the theory of quantum torus knots (QTK).
Knots And Applications
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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 1995-03-06
Knots And Applications 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 1995-03-06 with categories.
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory. Contents:Knot Logic (L H Kauffman)On Vortex AtomsOn Vortex MotionVortex Statics (W Thomson)Connection between Spin, Statistics, and Kinks (D Finkelstein & J Rubinstein)Flux Quantization and Particle Physics (H Jehle)Knot Wormholes in Geometrodynamics? (E W Mielke)Helicity and the Calugareanu Invariant (H K Moffatt & R L Ricca)Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus (L Rozansky)2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model (M Martellini & M Rasetti)Vassiliev Knot Invariants and the Structure of RNA Folding (L H Kauffman & Y B Magarshak)The Entanglement Structures of Polymers (A MacArthur)Synthesis and Cutting “In Half” of a Molecular Mobius Strip — Applications of Low Dimensional Topology in Chemistry (D W Walba et al.)Turning a Penrose Triangle Inside Out (T M Cowan) Readership: Mathematicians and mathematical physicists. keywords:Topological Gravity;Quantum Geometrodynanics;Knot Wormholes
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
Quantum Topology
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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 1993
Quantum Topology 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 1993 with Mathematics categories.
This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories.This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session.This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory.