4, FUNDAMENTAL 1WEAH COH>
that the analysis of Chapter vm will !md to tortlwr develop-
ments so that a comparison can be mad, b«tw«* ** diffi*»ut
theories. It is quite likely that one theory will bt. «nnoh«l by
the 'developments of another.
ments so that a comparison can be mad, b«tw«* ** diffi*»ut
theories. It is quite likely that one theory will bt. «nnoh«l by
the 'developments of another.
8 2. Electromagnetic fields.
For many purposes it u convenient to work with » wnnptox
vector* ar-JST±«, whwe »»V-1 ami the wnbignewm sign
±ls independent of the ambiguity which uecum in the <k>t*rini.
nation of V^l The differential equations (1) may thwi bo
replaced by the simpler equations
vector* ar-JST±«, whwe »»V-1 ami the wnbignewm sign
±ls independent of the ambiguity which uecum in the <k>t*rini.
nation of V^l The differential equations (1) may thwi bo
replaced by the simpler equations
divJf-0
-When a solution of h«*i b*n*n fotuirf
of vectors SmdM satisfying (I) way l»
eqtotMg eoeffidents of the »ign* la
apt ' nimltugQOUB sign it must be !t»fc
mgm we multi^itd thi» i«
tte chief Ja khe two
1 «ad V^l Is tib*t we eta that llt^
ml fonn »it4
At 0f <or ± lit
;„ •';' '; (I) or (I),
m mA 1 mid II
' point («yy«t|) to *
«a itkl In
«m lit mm ff
* ' fit
am
' own tf l • )y«t
'( ^ i ( i 'i ' ' ^ i ' , i ' ^^ , i (
* ffceswxrf* oomplei vwtor H -iA' Is rwttBJW»n4tedljy I/, i*Uiton*»i»
d. P^,. Vols, 23and24 (1S07) ; PWJ. Jfa?. (8), Vol. tt (191S), p. W.
d. P^,. Vols, 23and24 (1S07) ; PWJ. Jfa?. (8), Vol. tt (191S), p. W.
not , however , , use 'till iinibitfUouH , ' •