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[QUE/QM-08012]

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Using the properties of the ladder operators \(a, a^\dagger\) and the number operator \(N\), compute the average values of kinetic and potential energies for a harmonic oscillator in the \(n^\text{th}\) state \(|n\rangle\). Verify that their sum equals \((n + 1/2)\hbar\omega\).

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4727:Diamond Point

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