Asymptotic dipole expansions for small horizontal angles

1932 ◽  
Vol 28 (4) ◽  
pp. 433-441 ◽  
Author(s):  
F. H. Murray

An approximate calculation of the electromagnetic field of a vertical dipole at the surface of a conducting earth, for small angles of the radius vector with the horizontal, was given by Sommerfield; the case of large angles with the horizontal has been studied by a number of writers. It is proposed here to develop formulae for the vertical dipole by a method which takes into account the singularities of the integrand of a certain integral more accurately than is done by Sommerfield; the analysis is developed especially for small horizontal angles and small numerical distances.

2021 ◽  
Vol 57 (4) ◽  
pp. 43-48
Author(s):  
M.I. Baranov ◽  
◽  
◽  

The results of approximate calculation of the maximal value of the quantum number of n = nm for the quantized standing longitudinal electronic de Broglie half-waves λezn/2 = l0/n long and, accordingly, of the maximal number of nm of the quantized areas of the longitudinal periodic localization with the length of Δznh of drifting lone electrons in the cylindrical explorers of eventual sizes (long l0 and radius of r0) with the axial-flow current of conductivity of i0(t) of the indicated kinds and peak-temporal parameters (PTP) are presented, taking into account the quantum-wave nature of the electric current of conductivity of i0(t) of different kinds (permanent, variable, and impulsive) and PTP in the metallic explorers. The results of verification of the obtained calculations of the quantum-mechanical correlation for the determination of the quantum number nm confirm its possibility to be applied in such areas of engineering as high-voltage heavy-current impulsive technique and electrophysical treatment of metals by a strong electromagnetic field and by a pressure of a large impulsive current.


1993 ◽  
Vol 3 (3) ◽  
pp. 363-371 ◽  
Author(s):  
A. Konrad ◽  
I. A. Tsukerman

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.


Author(s):  
Leemon B. McHenry

What kinds of things are events? Battles, explosions, accidents, crashes, rock concerts would be typical examples of events and these would be reinforced in the way we speak about the world. Events or actions function linguistically as verbs and adverbs. Philosophers following Aristotle have claimed that events are dependent on substances such as physical objects and persons. But with the advances of modern physics, some philosophers and physicists have argued that events are the basic entities of reality and what we perceive as physical bodies are just very long events spread out in space-time. In other words, everything turns out to be events. This view, no doubt, radically revises our ordinary common sense view of reality, but as our event theorists argue common sense is out of touch with advancing science. In The Event Universe: The Revisionary Metaphysics of Alfred North Whitehead, Leemon McHenry argues that Whitehead's metaphysics provides a more adequate basis for achieving a unification of physical theory than a traditional substance metaphysics. He investigates the influence of Maxwell's electromagnetic field, Einstein's theory of relativity and quantum mechanics on the development of the ontology of events and compares Whitehead’s theory to his contemporaries, C. D. Broad and Bertrand Russell, as well as another key proponent of this theory, W. V. Quine. In this manner, McHenry defends the naturalized and speculative approach to metaphysics as opposed to analytical and linguistic methods that arose in the 20th century.


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