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.
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 Quote by qmpuzzler 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.
What is the commutation relation between x and p? How can you construct x to satisfy that commutation relation?
 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.