1.
Valery P.
Dmitriyev
, “
The easiest way to the Heaviside ellipsoid
,”
Am. J. Phys.
70
,
717
–
718
(
2002
).
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2.
One can easily show, using integration by parts and assuming that φ vanishes at |x|=∞ (which can be checked later for consistency), that after taking the spatial Fourier transform of φ, ∂φ/∂xα is replaced by ikαφ̃.
3.
See, for example, Mary L. Boas, Mathematical Methods in the Physical Sciences, 2nd ed. (Wiley, New York, 1983), p. 362.
4.
One can obtain this unique solution by guessing it has the form a exp(−ik⋅vt). If we substitute this form into Eq. (3), we obtain the algebraic equation −a(k⋅v)2/c2+ak2=q/ε0, from which a can be determined.
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© 2003 American Association of Physics Teachers.
2003
American Association of Physics Teachers
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