So I had a QM test today and I needed to show that the energy operator is hermitian. This was easy to show provided that the the adjoint of d/dt is -d/dt. I know this is the case for the spatial derivative but is it the case with the time derivative? The bra-ket is an integral over x not time so the proof isn't clear to me.(adsbygoogle = window.adsbygoogle || []).push({});

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# Hermitian adjoint of the time derivative?

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