Fundamentals of Analysis in Physics

Author(s): Masatoshi Kajita

DOI: 10.2174/9789815049107122010004

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Fundamental Meaning and Typical Solutions of Maxwell’s Equations

Pp: 33-57 (25)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

The main objective is to understand the meaning of Maxwell’s equations. It is
a set of four differential equations that describe several fundamental laws that are already
known. Why did these equations cause a revolution in physics? One reason is that the
distribution of the electromagnetic field can be obtained by solving first- or second-order
differential equations. Several examples have been shown to obtain the distribution of
the electric field produced by simple electrodes. The three-dimensional trapping of
charged matter can be achieved via two methods: the combination of a DC electric field
and a DC magnetic field or using an AC electric field.
The most important aspect of Maxwell’s equation is that it elucidates the identity of light
as an electromagnetic wave. Light energy is given as the potential energy of electric and
magnetic fields. Light has momentum and generates radiation pressure on a reflecting
mirror.
The speed of light was determined to be independent of the observer, which was the basis
for the theory of relativity. A fundamental aspect of the theory of special relativity is also
introduced.

Keywords:

Ampere’s law, Coulomb’s law, Cyclotron radiation, Electromagnetic wave, Faraday’s law of induction, Gauss’s theorem, Maxwell’s equation, Lorenz transform, Stokes’s theorem, The speed of light, Theory of relativity, Trap of charged matter.

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