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Repeated Measurements

  1. Oct 30, 2008 #1
    1. The problem statement, all variables and given/known data
    This is a true or false question on a practice test. I'm having a hard time making sense of it. Here it is:

    Two operators A and B do not share eigen states a(n) and b(n) where n=1,2,3,etc. A measurement of A is made and the system is found to be in state a(1). If the measurement of A is repeated at some later time, and if A does not commute the Hamiltonian H, the system may be found to be in a state other than a(1) (True or False).


    2. Relevant equations
    N/A


    3. The attempt at a solution
    My guess is true, but I'm not sure how the phrase about the Hamiltonian plays into this.

    Thanks for your help!
     
  2. jcsd
  3. Oct 30, 2008 #2

    olgranpappy

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    Homework Helper

    The hamiltonian play a role because it determines how the state changes with time.
     
  4. Oct 30, 2008 #3
    So, since the two operators do not commute, that means the state is changing with time, correct? This definitely means the answer is true.

    Please correct me if I am wrong - thanks!
     
    Last edited: Oct 30, 2008
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