to /*
is*:
ln eieciroiii
* Kassi
:iil frwpenc
r d “yssteadrap
woety of [
proof of tie
^ ^ 3S posilj
f tke electrical dt|
!ti of i nmnber ofus
‘ same umfonn an?
differ
meti(
¡rest and wi §;
of in electrostatic^
Marion or ip
ection of tietik
nm for unit volt:
mg Faraday ti:
: angles to ihar iff
iy H = (|d)ii
ar momentum in
S 1
it
system takes tit#
whole space flcef
etic energy, ana^
f
11 (ji
ig a current irtt
i, p.3f^
(Lx«! 2 + • • + 2M 12 ^ii 2 T - • •)
CO
= J&fLJt + M 12 * 2 + . .)
CO
Z-^LNx
2 71
where N t = L^’x + Mx 2 f 2 -f- . .
Thus the total angular momentum of the system is found
by a summation extending over the whole space occupied by
the magnetic tubes, and is expressed in the form
where Nx denotes the total number of magnetic tubes passing
through the circuit corresponding to the charge e x .
In this case the application of the quantum theory to the
steady state gives the result
pdp = nh, (n an integer)
io : 9
where cf> is the angle determining the position of the charges at
any particular instant. The integration is to be extended over
the full period common to all the rotating charges. Hence,
since p is constant,
2np — nh io : io
Identifying the two expressions for p we find
ZfeiNx — nh io : ii
According to the electron theory, the charges e x . . . must be
integral multiples of the fundamental electron charge, so that
e-L — hxe, etc., where is an integer which may be either posi
tive or negative. The relation may now be written
ZkxNx — n(h/e) . . . . io: 12
In general, of course, the integers k lt etc., will be unity, and
the simplest interpretation to give to the result is to assume
that each N is an integral multiple of h/e. Even if any particular
k were not unity, we could still interpret the relation in the same
way by assuming that the corresponding n is a multiple of the
integer k. Thus we are again led to postulate an atomicity not
merely of electric charges, but also of magnetic tubes.