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Main Question or Discussion Point
I am confused about the difference between the two
In Griffith's 2.3 The Harmonic Oscillator, he superimposes the quantum distribution and classical distribution and says
In Griffith's 2.3 The Harmonic Oscillator, he superimposes the quantum distribution and classical distribution and says
What I understand for quantum case is that ##\Psi_{100} (x)^2## gives the probability we will measure the particle at position ##x##. So if we were given a large set of the particles we will have a probability distribution of the measured ##x## and this distribution is what shown on the graph. However I don't quite understand what the distribution over time means in the classical case. I don't really see how the dependence of time fit in, since the graph is only xdependence.In the classical case we are talking about the distribution of positions over time for one oscillator, whereas in the quantum case we are talking about the distribution over an ensemble of identically prepared systems.
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