Apparently, if I have a Hamiltonian that contains an operator, and that operator commutes with the Hamiltonian, not only can we "simultaneously diagonalize" the Hamiltonian and the operator, but I can go through the Hamiltonian and replace the operator with its eigenvalue everywhere I see it show up. Can someone please explain why this is? Thanks!(adsbygoogle = window.adsbygoogle || []).push({});

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# Simultaneous diagonalization and replacement of operators with eigenvalues ?

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