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Please help,find the operator for position x

  1. Sep 19, 2011 #1
    1. The problem statement, all variables and given/known data
    I'm so confused about the question below,actually i cannot understand the problem at all.Could anybody help me out?Thank you

    2. Relevant equations

    Find the operator for position x if the operator for momentum p is taken to be (h/2m)½(A+B),with[A,B]=1,and all other commutators zero.

    3. The attempt at a solution i just cannot figure it out how can the position,which is a opeartor itself,can have a operator for.
     
  2. jcsd
  3. Sep 20, 2011 #2
    What is the commutation relation between x and p? How can you construct x to satisfy that commutation relation?
     
  4. Sep 20, 2011 #3
    Here is the question:
    Find the operator for position x if the operator for momentum p is taken to be (h/2m)½(A+B),with[A,B]=1,and all other commutators zero.

    Honestly,i have no idea what is the meaning of the question.
     
  5. Sep 20, 2011 #4
    QMPuzzler, just as a hint to what you were asked by the original helper, I think you might want to consider how the commutation relations work, for example: [x,p] = xp-px.
     
  6. Sep 20, 2011 #5
    Thanks,but still have no clue in solving.can you explain how to work it out?
     
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