My textbook says the ground state energy of the QSHO is given by 1/2*h_bar*w and that this is the minimum energy consistent with the uncertainty principle. However I am having trouble deriving this myself.... ΔEΔt ≥ h_bar / 2.. so then ΔE/Δfrequency ≥ h_bar / 2...(adsbygoogle = window.adsbygoogle || []).push({});

ΔE*2*pi / w ≥ h_bar / 2

ΔE ≥ h_bar*w / 4*pi

what am I doing wrong?

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# Ground State Energy of quantum oscillator

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