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Quantum Mechanics - Commuting Operators (very quick question)

  1. Jan 5, 2007 #1
    Just a quickie:

    If two operators commute, what can be said about their eigenfunctions?

    The only thing I can glem from the chapter in my textbook about this is that the eigenfunctions are equal? Is this right, or have I misread it?
  2. jcsd
  3. Jan 5, 2007 #2


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    If two (Hermitian) operators commute, then there exists a complete set of eigenvectors which is common to both operators.
  4. Jan 5, 2007 #3
    Not to interrupt, but if I were asking this question, I'd be doing so exclusively in terms of wave mechanics. It seems to be the 'mdern' way to ignore matrix mechanics when teaching QM - at least it is for my department.
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