(I am referring to section 3.1 in Burkhardt's "Foundations of Quantum Physics", if you happen to have the book.)(adsbygoogle = window.adsbygoogle || []).push({});

In that book it's pointed out that the apparent contradiction between the pdf's of the QM ground state solution to the harmoinc oscillator with its classical conterpart (at the same energy = ℏω/2) is due to the comparison setup itself; we should compare the corresponding states rather than the corresponding energy. so QM's groud state with E = ℏω/2 and the classical E = 0. But why? shouldnt energy defines the system uniquely so when we make comparison we use the same energy?

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# Harmonic oscillator (quantum vs classical)

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