Problem 3.16 Show that two noncommuting operators cannot have a complete set of common eigenfunctions. Hint: Show that if ê and Ö have a complete set of common eigenfunctions, then P, Qf = 0 for function in Hilbert space.

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Problem 3.16 Show that two noncommuting operators cannot have a complete set
of common eigenfunctions. Hint: Show that if ê and Ö have a complete set of
common eigenfunctions, then P, Qf = 0 for
function in Hilbert space.
Transcribed Image Text:Problem 3.16 Show that two noncommuting operators cannot have a complete set of common eigenfunctions. Hint: Show that if ê and Ö have a complete set of common eigenfunctions, then P, Qf = 0 for function in Hilbert space.
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