Let (x) be a properly normalised wavefunction and an operator on wavefunctions. Let {q} be the...

  

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Let (x) be a properly normalised wavefunction and an operator on wavefunctions. Let {q} be the spectrum of and {ur()} be the corresponding correctly normalised eigenfunctions. Write down an expression for the probability that a measurement of Q will yield the value q. Show that P(r) = 1. Show further that the expectation of Qis (Q) = *Qda. Let (x) be a properly normalised wavefunction and an operator on wavefunctions. Let {q} be the spectrum of and {ur()} be the corresponding correctly normalised eigenfunctions. Write down an expression for the probability that a measurement of Q will yield the value q. Show that P(r) = 1. Show further that the expectation of Qis (Q) = *Qda.