By Richard Feynman
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Additional resources for The Feynman Lectures on Physics - Volume III
Sample text
If it is true that whenever we “see” the electron we see the same-sized flash, then those electrons we see are always the disturbed ones. Let us try the experiment with a dim light anyway. Now whenever we hear a click in the detector we will keep a count in three columns: in Column (1) those electrons seen by hole , in Column (2) those electrons seen by hole , and in Column (3) those electrons not seen at all. 1–3! If the electrons are not seen, we have interference! That is understandable. When we do not see the electron, no photon disturbs it, and when we do see it, a photon has disturbed it.
2–1, the number of waves in the length is uncertain by something like . But the number of waves in is . 7), a property merely of waves. The same thing works whether the waves are in space and is the number of radians per centimeter and is the length of the train, or the waves are in time and is the number of oscillations per second and is the “length” in time that the wave train comes in. That is, if we have a wave train lasting only for a certain finite time , then the uncertainty in the frequency is given by We have tried to emphasize that these are properties of waves alone, and they are well known, for example, in the theory of sound.
So we must talk about what we can predict. Now let us take the thing the other way around. Let us take another example of the same phenomenon, a little more quantitatively. In the previous example we measured the momentum by a classical method. , so we got the momentum by classical analysis. 2). We measure the wavelengths of the waves. Let us try to measure momentum in this way. Fig. 2–3. Determination of momentum by using a diffraction grating. 2–3), and send a beam of particles at the grating.