A thought experiment, in which a light beam is sent through slits of different sizes thereby
producing a diffraction pattern, is used to illustrate the uncertainty principle. Attempts to
reduce the uncertainty in the measurement of the position of the light beam
()
succeed, but
at the expense of increasing the uncertainty in the measurement of the momentum
(),
so that
the product of the two magnitudes,
x
,
is still larger than h, Planck's constant. This
experiment introduces the idea that one can know the value of a physical observable with as high
a precision as necessary, but the act of measuring this observable has an effect on how much we
can know about another observable. This thought experiment can be physically performed using a
diode laser and a series of slits. A derivation is presented to relate the uncertainties in
position and momentum to variables that can be measured with a ruler in a classroom or laboratory.
Data from a typical experiment are also presented.
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