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Finding by what factor two operators differ

  1. Nov 26, 2012 #1
    1. The problem statement, all variables and given/known data
    I have two operators
    [itex]\hat{A}^{2}[/itex][itex]\hat{B}^{2}[/itex]+[itex]\hat{B}^{2}[/itex][itex]\hat{A}^{2}[/itex]

    1/2([itex]\hat{A}[/itex][itex]\hat{B}[/itex]+[itex]\hat{B}[/itex][itex]\hat{A}[/itex]) [itex]^{2}[/itex]

    By what factor do the two operators differ?


    3. The attempt at a solution
    I believe I either have to find the inner products of them and relate them somehow or use commutation?
    Not sure which one!
    I dont want help with the maths as I really need to try figure that bit out myself! But im not quite sure what the question is asking me to do.
     
  2. jcsd
  3. Nov 28, 2012 #2
    try commutation,if given.
     
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