Single-Particle Electrodynamics - Assassination Science

Appendix C
Supplementary Proofs
C.1 Introduction
In this appendix, we collect together various proofs whose explicit inclusion
in the body of this thesis was considered unwarranted, but whose inclusion
as reference material may be useful to some readers.
C.2 Mechanical field excesses
In this section, we derive the Coulomb-gauge expressions for the excess in the
field mechanical momentum and energy caused by an electric charge being
brought into the vicinity of the other electric sources in the Universe, in the
nonrelativistic limit.
C.2.1
Electric charge mechanical energy excess
(This proof is taken directly from Section 1.11 of Jackson’s textbook [113].)
The electromagnetic field mechanical energy is given by the following
integral over all space:
W field = 1 ∫
d 3 r E 2 (r).
(C.1)
2
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