Electrodynamics. Lectures on Theoretical Physics, Vol. 3 by Arnold Sommerfeld, Edward G. Ramberg

By Arnold Sommerfeld, Edward G. Ramberg

Within the 3rd of a six-volume sequence, Sommerfeld offers a distillation of his lecture notes on electrodynamics.

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II, p. 72 and p. 288. In the crystal We is a general positive form of the second order in the Ei, not a simple sum of squares as for the isotropie case. The notation in the text as scalar product is in any case conceptually preferable, particularly since it becomes necessary for W9, where E and D need not have the same direction even in the isotropie case. In contrast with We and Wm Wj is not a state function. The condition σ*»· = σ,* should hence apply, in the crystalline conductor, only for a particular crystal sym­ metry.

H. A. Lorentz, when writing his articles for the Enzyklopädie in 1902, like Hertz, utilized the Gaussian system, postulating: Electrical quan­ tities (including the electric current) are measured electrically (electrostat­ ically), magnetic quantities, magnetically. Contrary to his original inten­ tion he decided, in the course of composing the articles, to convert the Gaussian system (unlike Gauss and Hertz) into rational units. In this manner the theoretical relationships became clearer and the 47r's were eliminated from the Maxwell equations.

The reason is the following: Since the year 1902 atomic physics has come to be the most important branch of our science. g. g. in the hydro­ gen atom, Ψ = e/r ( n o t ^ = e/^irr)). We consider it inadvisable to over­ turn this whole formalism anew by passing over to the rational form of the Gaussian system or even to our system of four units. On the other hand Giorgi's system of the units MKSQ, freed of 47r's, is most suitable for the macrophysical problems of this lecture. We are here in agreement with the international conventions, with the practice of engineering, and, in particular, with the textbooks of Mie (quoted on p.

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