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Problem/QM-06014

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\(\newcommand{\ket}[1]{|#1\rangle}\) Compute the uncertainty, \(\Delta E\), in energy is a state \[ \ket{\psi}= \alpha_1 \ket{E_1} + \alpha_2\ket{E_2}. \] Show that the uncertainty vanishes when \(E_1=E_2\). Is this result expected? WHY?

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