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(a)For what range in ν is the function f(x) = x ν in Hilbert space? (4) (b) Why...

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Physics

(a)For what range in ν is the function f(x) = x
ν
in Hilbert space? (4)
(b) Why are observables represented by Hermitian operators? Explainfully. (3)
(c) Why are determinate states of Q eigenfunctions of Qˆ? Explainfully. (4)
(d) Comment on the essential properties of reality, orthogonalityand completeness
for both the cases of discrete and continuous spectra.

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