IN the physics of the atom, as it has become in modern times,
everything is atomic, and there are sudden jumps from one condition to
another. The electron and the hydrogen nucleus are the true “atoms”
both of electricity and of matter. According to the quantum theory,
there are also atomic quantities, not of energy as was thought when
the theory was first suggested, but of what is called “action.” The
word “action,” in physics, has a precise technical meaning; it may be
regarded as the result of energy operating for a certain time. Thus
if a given amount of energy operates for two seconds, there is twice
as much action as if it operated for one second; if it operates for
a minute, there is 60 times as much action, and so on. If twice the
amount of energy operates for a second, there is again twice as much
action, and so on. If the energy which is operating is variable, and we
wish to estimate its action during a given time, we divide the time
[Pg 135]
into a number of little bits, during each of which the energy will
vary so little that it may be regarded as constant; we then multiply
the energy during each little interval of time by the length of the
interval, and add up for all the intervals. As we make the intervals
smaller and more numerous, the result of our addition approaches nearer
and nearer to a certain limit; this limit we define as the total action
during the total period of time concerned. Action is a very important
conception in physics; from the point of view of theory it is more
important than energy, which has been deposed from its eminence by
the theory of relativity. Planck’s quantum is of the nature of
action; thus the quantum theory amounts to saying that there are atoms
of action.
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