The Theory of Quantum Torus Knots: Its Foundation in Differential Geometry - Volume IV

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

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 Schroedinger, Schroedinger-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.