Exploring the Physical Meaning of a Harmonic Oscillator Probability Density Plot

[Raziel2701]

Homework Statement

I'm talking about the probability density plot of the harmonic oscillator. Is there some physical meaning to be extracted from this? Here's a link that contains the drawing of what I'm talking about http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc5.html

Homework Equations

The Attempt at a Solution

 

[ideasrule]

The physical significance is that as the energy increases, the oscillator becomes more and more classical. Classically, the oscillator spends more time at its turning points since its speed is 0 there, so you'd expect the wavefunction to be larger around these points.