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Wigners Theorem And Linerarity

  1. Apr 18, 2013 #1


    Staff: Mentor

    With reference to the following lecture by Leonard Susskind :

    Someone asked why evolution is linear - I was waiting for him to say - Wigner's Theorem implied it. But no - he said there is no deeper explanation - its simply an axiom of QM.

    Anyone got any idea what he was getting at? Or am I mistaken and it really is a separate axiom?

    BTW - superb lecture.

    I believe he is releasing the lectures as a series of books. Already ordered the classical physics one and can hardly wait for the others.

  2. jcsd
  3. Apr 18, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    The evolution is a consequence of Wigner's theorem + Stone's theorem, which do indeed depend on some hypotheses (axioms as you may call them): preservation of probability distributions under time evolution and the state space being a linear topological space.
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