Electromagnetic field theory

In contrast to mechanics, electromagnetic field theory, or relativity, where the names of Newton, Maxwell, and Einstein stand out uniquely, the foundations of thermodynamics originated from the thinking of over half a dozen individuals Carnot, Mayer, Joule, Helmholtz, Rankine, Kelvin, and Clausius [1]. Each person provided cmcial steps that led to the grand synthesis of the two classic laws of thermodynamics. 

Conventional electromagnetic field theory based on Maxwell s equations and quantum mechanics has been very successful in its application to numerous problems in physics, and has sometimes manifested itself in an extremely good agreement with experimental results. Nevertheless, in certain areas these joint theories do not seem to provide fully adequate descriptions of physical reality. Thus there are unsolved problems leading to difficulties with Maxwell s equations that are not removed by and not directly associated with quantum mechanics [1,2]. 

As a first step, the treatment in this chapter is limited to electromagnetic field theory in orthogonal coordinate systems. Subsequent steps would include more advanced tensor representations and a complete quantization of the extended field equations. 

The process of total reflection of an incident wave in an optically dense medium against the interface of an optically less dense medium turns out to be of particular and renewed interest with respect to the concepts of nontransverse and longitudinal waves. In certain cases this leads to questions not being fully understood in terms of classical electromagnetic field theory [26]. Two crucial problems that arise at a vacuum interface can be specified as follows ... 

Now for non-Abelian electromagnetic field theory, we have the 3-Lie index component of the field, and for the magnetic field B1"3 1, it equals... 

C. White, Energy Potential—Toward a New Electromagnetic Field Theory, Campaigner Publishers, New York, 1977. 

To date, most NMR microcoils have been wound directly on to a capillary tube which functions as both sample container and coil form [26,27], According to electromagnetic field theory, a sample enclosed by a perfectly uniform and infinitely long hollow cylinder (e.g. a fused silica capillary) experiences a uniform static magnetic field [28]. In reality, the susceptibility variation of the... 

Maxwell s electromagnetic field theory describes radiation in terms of oscillating electric and magnetic fields. It is one or other of these fields (usually the electric one) that interacts with the electrons of the chemical species absorbing the radiation. 

IV. Extension of Electromagnetic Field Theory to General Relativity... 

A later analysis was based on a spinor formulation of the electromagnetic field theory, to be discussed in the next section. It was found that this general-... 

In the context of Einstein s theory of relativity, we must ask whether Maxwell s expression of the electromagnetic theory is the most general representation consistent with the symmetry requirements of relativity. The answer is negative because the symmetry of Maxwell s equations based on reducible representations of the group of relativity theory. Then there must be additional physical predictions that remain hidden that would not be revealed until the most general 0irreducible) expression of the electromagnetic field theory is used. 

The solutions /-M v of the standard (reducible) vector form of electromagnetic field theory transform as a second-rank (covariant) tensor... 

According to the spinor calculus [19], further invariants, in addition to (22), that correspond with the standard invariants of electromagnetic field theory, are... 

Thus we see that four of the conservation equations in (24) correspond to all four conservation equations of the standard theory one is the conservation of energy (25a) (Poynting s equation), and the other three are the conservation of the three components of momentum (25b) of the standard form of electromagnetic field theory. But since (24) are eight real-number valued equations rather than four, the spinor formalism predicts more facts than the standard vector Maxwell formalism—it is a true generalization. 

Let us now sum up the generalization of electromagnetic field theory thus far. The starting point is that the symmetry group that underlies Einstein s theory of relativity is a Lie group—a group of continuous, analytic transformations that preserve the covariance of all the laws of nature. This is the rule that all laws of nature remain in one-to-one correspondence in all continuously connected... 

IV. EXTENSION OF ELECTROMAGNETIC FIELD THEORY TO GENERAL RELATIVITY... 

James Clark Maxwell 1831—1879, British mathematician and physicist, founder of the electromagnetic field theory and the kinetic theory of gases. 

K. F. Warnick, R. H. Selfridge, D. V. Arnold, Teaching electromagnetic field theory using differential forms,... 

Stuart, R.D. 1965. Electromagnetic Field Theory. Addison-Wesley, Reading, MA. 

Faraday, Michael (1791-1867) English chemist and physicist, the creator of the classical electromagnetic field theory and one of the greatest experimental physicists. He discovered electromagnetic induction (1831), which led to the development of generators, transformers, and electromagnets ... 

Early efforts toward non-Maxwell electromagnetic field theory in mental and te-letransductive phenomena and health features. 

Okumura, K. and K. Kijima. 1985. AmeAod for coupling surge impedance of transmission tower by electromagnetic field theory. Trans. lEE Jpn. 105-B(9) 733-740 (in Japanese). 

From classical electromagnetic field theory (34,35), Eq- 4 is the functional form selected to represent... 

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