1. 302" NOTES. 51
will be much the same as in the elementary theory of the Zee-
man- effect.
When we take the upper signs in our formulae we have
from which it follows that the circular motion represented by (101)
has the direction of that of the hands of a clock, if the observer is
placed on the side towards which the lines of force are directed.
Therefore in this case the light emitted in the direction of the lines
of force has a right-handed circular polarization. Its polarization is
left-handed when we take the under signs.
Now, the equation (99) shows that, when & is positive, the fre-
quency is greatest for the right-handed, and least for the left-handed
circular polarization, contrary to what we found in the elementary
theory of the Ze em an -effect. The reverse, however, will be the
case, when <? has a negative value. Since the charge e is negative,
it follows from (97) and (98) that the signs of & and <u are
opposite. The sign of the Zeeman-effect will therefore be that which
we found in the elementary theory or the reverse according as co is
positive or negative.
51 (Page 126). When the particle has a Velocity of translation V,
the forces acting on one of its electrons are
Here, denoting by x, y, 0 the coordinates of the electron with
respect to the centre of the particle, and distinguishing by the index 0
the values at that point, we may replace H.,,, H ; , H, by
Substituting this in the expressions
2(yZ~0Y), etc.
for the components of the resultant couple and usino; the equations
of § 104, we find
7[ v *-0y ^ 3 ~ T$2y* ~ v,^27*« 4- v, ^£/j, etc,
or, since
dy ~$s~ *"* ~
o V*~~fa + v v~gf •*• V. jf) , etc.