... is¹

In principle, $A=A(\omega)$ and $B=B(\omega)$, with $A+B=1$. However, later on we shall demonstrate that $B=0$, otherwise causality is violated. It follows that $A=1$. Thus, it is legitimate to assume, for the moment, that $A$ and $B$ are constants.

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... harmonics,²

J.D. Jackson, Classical Electrodynamics, (Wiley, 1962), p. 99

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... kind.³

J.D. Jackson, Classical Electrodynamics, (Wiley, 1962), p. 104

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... that⁴

A. Sommerfeld, Partial differential equations in physics, (Academic Press, New York, 1964), p. 117

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... where⁵

Note that $dr=dx\,\cos\theta$, despite the fact that $x= r\,\cos\theta$. This comes about because the volume element $dV$ is aligned along a radius vector.

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... convention.⁶

Here, we are assuming that the laws of physics do not possess an intrinsic handedness. This is certainly the case for mechanics and electromagnetism. However, the weak interaction does possess an intrinsic handedness; i.e., it is fundamentally different in a parity inverted universe. So, the equations governing the weak interaction do actually contain mixtures of tensors and pseudo-tensors.

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....⁷

Note that it would actually be possible to unambiguously communicate to our concepts of left and right to our hypothetical aliens using the fact that the weak interaction possesses an intrinsic handedness.

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... calculations⁸

L. Landau, and E. Lifshitz,The classical theory of fields, (Addison-Wesley, 1951), pp. 215 ff.

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... demonstrated⁹

J.D. Jackson, Classical electrodynamics, (Wiley, 1962), pp. 672 ff.

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... Table 1.¹⁰

Data obtained from the Handbook of Chemistry and Physics, Chemical Rubber Company Press, Baca Raton, FL

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... well-known¹¹

M. Abramowitz, and I.A. Stegun, Handbook of mathematical functions, (Dover, New York, 1965), Eq. 9.1.21.

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... integrals¹²

M. Abramowitz, and I.A. Stegun, Handbook of mathematical functions, (Dover, New York, 1965), Sec. 7.3.

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... decent.¹³

Léon Brillouin, Wave propagation and group velocity, (Academic press, New York, 1960).

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... decent¹⁴

Léon Brillouin, Wave propagation and group velocity, (Academic press, New York, 1960).

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... 1857.¹⁵

G.G. Stokes, Trans. Camb. Phil. Soc. 10, 106-128 (1857)

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... exactly¹⁶

M. Abramowitz, and I.A. Stegun, Handbook of mathematical functions, (Dover, New York, 1965), Cha. 9

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