The Wave Equation: An Overview

Lionel S. Price (Editor)

Series: Physics Research and Technology
BISAC: SCI040000

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Volume 10

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Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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In The Wave Equation: An Overview, a quantum gravity theory based on unification of all quantum fields into a single field is presented.

The authors aim to assess whether the equations of motion or the conservation equations are more fundamental. The application of this resolution to the Transmission Line Matrix modeling method for numerically solving the wave equation is also addressed.
Flux density is proportional to the density of momentum. As such, the general procedure is described wherein this concept is applied to other Hermitian operators.

An alternative metric is presented in this compilation which satisfies Einstein’s field equations. This metric does not depend on weak field approximation, however it replaces Schwarzschild metric under certain conditions and provides an elegant solution for the rotation curves of galaxies.

An optical wave equation for scattered light in materials with macroscopic spatial inhomegeneites is presented and analysed. The equation is applicable to variety of linear and nonlinear optical interactions in media with intrinsic, induced or engineered inhomegeneites.

Lastly, the authors explore a black hole solution to the Jackiw-Teitelboim field equations for two-dimensional gravity. It turns out that the wave frequency is also connected to a suitable black hole metric, dilaton field, and cosmological constant.
(Imprint: Nova)

Preface

Chapter 1. Periodic Quantum Gravity and Cosmology
(Vikram H. Zaveri, Independent Research, Mumbai, India)

Chapter 2. The Axiomatic Status of the Wave Equation
(Peter Enders, Taraz State Pedagogical University, Taraz, Kazakhstan)

Chapter 3. Transport of Energy and Momentum in Wave Mechanics
(Vasily A. Khodyrev, Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia)

Chapter 4. Hydrogen Spectra Using Einstein’s Field Equations
(Vikram H. Zaveri, Independent Research, Mumbai, India)

Chapter 5. Optical Wave Equation for Light Scattering in Macroscopically Inhomogeneous Optical Media and Its Applications
(Valeri I. Kovalev, P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia, and others)

Chapter 6. Remarks on the Dispersion Relation for Long Magnetoacoustic Waves in a Cold Plasma: A 2D Black Hole Connection
(Floyd L. Williams, Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts, US)

Index

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