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Can someone explain to why the energy of the harmonic oscillator must be at least:

[tex]\frac{(\Delta p)^2}{2m}+\frac{1}{2}m \omega^2 (\Delta x)^2[/tex]

I mean, [tex]\Delta x[/tex] and [tex]\Delta p[/tex] represents the uncertainty in the position and momentum, and therefore it does not really have anything to do with the actual true value of the position and momentum does it? If you don't understand what I mean please let me know.

Thanks!

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# Energy of the harmonic oscillator

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