Question

Let A,B be self-adjoint operators, [A,B] = iC. then $\large\rm{ \forall s \in \mathbb R}$ and normalized $\large\rm{ \psi \in \cal H}$ :
prove
$\large\rm{ ||(A-isB)\psi||^2 = \mathbb{E}_{\psi} ( A^2) + s \mathbb{E}_{\psi} (C) + s^2 \mathbb{E}_{\psi} ( B^2)}$​

Answer 1

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