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The Theory of Quantum Torus Knots

The Theory of Quantum Torus Knots

Its Foundation in Differential Geometry - Volume II

ByMichael UngsLaura Paige Ungs

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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.

Details

Publication Date
Jun 1, 2020
Language
English
ISBN
9780578684673
Category
Engineering
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Michael Ungs, By (artist): Laura Paige Ungs, By (artist): Agostinho Gizé, Drawings by: Andrew James Ungs, Cover design or artwork by: Carmen Ungs

Specifications

Pages
728
Binding
Case Wrap
Interior Color
Color
Dimensions
US Letter (8.5 x 11 in / 216 x 279 mm)

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