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2-1: Young's Experiment, the Wave Nature of Electrons |
[The Double-Nature of Light]
First, let us review
on the duality briefly.
As explained on the pages,
3-8: Summary of Part 3
and
Epilogue : Opening to Quantum Mechanics,
in the previous Seminar,
the wave nature of light was
confirmed by Young's
double-slit experiment.
The photograph of the interference fringes
in Young's experiment
shown below
is, so to speak,
the result of
a cooperative work of
the particle nature
and the wave nature of light.
You should keep this in mind.
On the other hand,
the particle nature
of light was established by
Einstein's hypothesis of photon
based on Planck's energy quantum
and its experimental confirmation.
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Young's experiment
A monochromatic light
from a point source
passes through the two thin slits,
S1
and
S2,
and makes an interference fringes
on the screen.
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An example of
the interference fringes
in Young's experiment
is shown in the following
picture,
where
(A)
represents the picture
of the pattern on the screen
when only one of the slits is open,
and
(B)
shows the picture
of the striped pattern
on the screen
when both the slits are open.
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[The Wave Nature of Electrons]
Since the discovery of electron
by J. J. Thomson,
nobody had doubted
that an electron
is a very small and
very light particle
seemed as almost one point,
whereas it has been
clarified after
the proposal of matter wave
by de Broglie
that
electrons possess
not only particle nature
but also wave nature.
It has been confirmed that
other substance particles
as well as electrons
have the duality of particle
nature and wave nature.
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[Abandon the Idea of Choice
between Two Alternatives]
At the beginning
of the 20th century,
physicists in the world
came up against
the serious contradiction
between the particle nature
and the wave nature.
Is this a true contradiction?
We think that light
or an electron
must be a particle
or a wave, exclusively.
Is this the reason
why we feel the particle-wave duality
as a contradiction?
The idea that we have
to choose between
two alternatives,
"particle" or "wave"
might be a classical
thinking way.
Isn't it possible
to consider that the duality
might be an essential
quality of matter?
It was discussed that
the photograph
of the interference fringes
in Young's experiment
shown above
is
a cooperative work
of the particle-wave
double natures of light.
The photograph cannot exist
without any of the two natures.
This thoroughly deny
the above-mentioned idea of
choice between
two alternatives.
As learned on the page,
1-5: The Meaning of the Wave Function,
we know that
the wave function
represents the
probability that the
particle will be found;
precisely speaking,
the square of the absolute
value of
the wave function
represents the probability.
You may be enough
wise to notice that
we can unify
the particle nature
and the wave nature
within quantum mechanics
by introducing the concept
of probability
without adopting
the idea to choose
between the
two alternatives.
Let us discuss this
in further detail
on the following pages.
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